Least Common Multiple of 947/92, 733/89, 149/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 947/92, 733/89, 149/65 quickly i.e. 103428499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 947/92, 733/89, 149/65 is 103428499.

LCM(947/92, 733/89, 149/65) = 103428499

LCM of 947/92, 733/89, 149/65

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 947/92,733/89,149/65

Given numbers are 947/92,733/89,149/65

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 947,733,149

Least Common Multiple of Numerators i.e. LCM of 947,733,149 is 103428499.

GCF of Denominators means GCF of 92,89,65 as per the given fractions.

GCF of 92,89,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 947,733,149

LCM of Fractions 947/92,733/89,149/65 is 103428499

Given numbers has no common factors except 1. So, there LCM is their product i.e 103428499

Least Common Multiple of 947,733,149 with GCF Formula

Least Common Multiple of 947,733,149 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 947,733,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,733,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(947,733,149) x common factors =1 x 1 = 1

LCM(947,733,149) = ( 947 × 733 × 149 ) / 1

LCM(947,733,149) = 103428499 / 1

LCM(947,733,149) = 103428499


Lets's calculate GCF of 92,89,65

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103428499/1

Therefore the LCM of Fractions 947/92,733/89,149/65 is 103428499

Greatest Common Factor of 92,89,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,89,65 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 92,89,65 . The biggest common factor number is the GCF number.
So the greatest common factor 92,89,65 is 1.


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Frequently Asked Questions on Fractional LCM of 947/92, 733/89, 149/65

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 947/92, 733/89, 149/65?

Answer: LCM of Numerators as per given numbers 947/92, 733/89, 149/65 is

LCM of Numerators i.e. for 947,733,149 is 103428499

GCF of denominators i.e. for 92,89,65 is 1.

Thus, LCM of Fractions is 103428499.Finally, LCM of Fractions for 947/92, 733/89, 149/65 is 103428499.