Create CloudWatch Alarm to trigger multiple Lambda functions

I would like to implement following in Serverless framework.

I have multiple services and each serverless service has multiple lambda functions. I would like to trigger the CloudWatch alarm by all Lambda functions that fails or throw exception.

Here is the code to be triggered by one lambda function:

resources:
  Resources:
    TopicAlarm4xx:
      Type: AWS::SNS::Topic
      Properties:
        TopicName: error_notification_topic

    LambdaAlarm4xx:
      Type: AWS::CloudWatch::Alarm
      Properties:
        AlarmDescription: 4xx errors detected at Lambda
        Namespace: AWS/Lambda
        MetricName: 4XXErrors
        Statistic: Sum
        Threshold: 1
        ComparisonOperator: GreaterThanOrEqualToThreshold
        EvaluationPeriods: 1
        Period: 300
        Dimensions:
          - Name: LambdaName
            Value:                         # Value: !Ref LambdaName
              Ref: functionName

Here is how it works for one lambda function

service: TestService

plugins:
  - serverless-pseudo-parameters

custom:
  stage: dev
  log_notification: "log_notification_${self:custom.stage}"

provider:
  iamRoleStatements:
    - Effect: "Allow"
        Action: 
          - logs:*
        Resource: "arn:aws:logs:*:*:*"
    - Effect: 'Allow'
        Action:
          - "sns:*"
        Resource: "*"

functions:
  logNotification:
      handler: handler.logNotification
      events:
        - sns: arn:aws:sns:#{AWS::Region}:#{AWS::AccountId}:${self:custom.log_notification}
  testError:
      handler: handler.testError
      events:
        - http:
            path: testerror
            method: get
            cors: true

resources:
  Resources:
    TopicAlarmLambdaError:
      Type: AWS::SNS::Topic
      Properties:
        TopicName: ${self:custom.log_notification}

    LambdaAlarmForErrors:
      Type: AWS::CloudWatch::Alarm
      Properties:
        AlarmDescription: Lambda errors detected in All Lambdas
        Namespace: AWS/Lambda
        MetricName: Errors
        Statistic: Sum
        Threshold: 1
        ComparisonOperator: GreaterThanOrEqualToThreshold
        EvaluationPeriods: 1
        Period: 30   # seconds
        AlarmActions:
          - Ref: TopicAlarmLambdaError
        Dimensions:
          - Name: FunctionName
            Value: ${self:service}-${self:custom.stage}-testError