# Lcm of two numbers is 14 times their hcf

Asked by admin @ in **Math** viewed by 131 People

The lcm of two numbers is 14 times their hcf. the sum of lcm and hcf is 600. if one number is 280,then find other number

Asked by admin @ in **Math** viewed by 131 People

The lcm of two numbers is 14 times their hcf. the sum of lcm and hcf is 600. if one number is 280,then find other number

Answered by admin @

GIVEN: HCF+LCM= 600, ONE NUMBER= 280

Let the HCF= X

LCM= 14X

HCF+LCM= 600

X+ 14X=600

15X= 600

X= 600/15

X= 40

HCF= 40

LCM = 14X= 14× 40= 560

HCF×LCM= 1ST NUMBER × 2ND NUMBER

40× 560= 280× 2ND NUMBER

2ND NUMBER= (40×560) /280

2ND NUMBER= 40×2

2ND NUMBER= 80

Hope this will help you....

Let the HCF= X

LCM= 14X

HCF+LCM= 600

X+ 14X=600

15X= 600

X= 600/15

X= 40

HCF= 40

LCM = 14X= 14× 40= 560

HCF×LCM= 1ST NUMBER × 2ND NUMBER

40× 560= 280× 2ND NUMBER

2ND NUMBER= (40×560) /280

2ND NUMBER= 40×2

2ND NUMBER= 80

Hope this will help you....

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