Least Common Multiple of 429/97, 957/40, 974/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/97, 957/40, 974/156 quickly i.e. 12117534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/97, 957/40, 974/156 is 12117534.

LCM(429/97, 957/40, 974/156) = 12117534

LCM of 429/97, 957/40, 974/156

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 429/97,957/40,974/156

Given numbers are 429/97,957/40,974/156

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 429,957,974

Least Common Multiple of Numerators i.e. LCM of 429,957,974 is 12117534.

GCF of Denominators means GCF of 97,40,156 as per the given fractions.

GCF of 97,40,156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,957,974

LCM of Fractions 429/97,957/40,974/156 is 12117534

3 429, 957, 974
11 143, 319, 974
13, 29, 974

∴ So the LCM of the given numbers is 3 x 11 x 13 x 29 x 974 = 12117534

Least Common Multiple of 429,957,974 with GCF Formula

Least Common Multiple of 429,957,974 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 429,957,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,957,974) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(429,957,974) x common factors =1 x 33 = 33

LCM(429,957,974) = ( 429 × 957 × 974 ) / 33

LCM(429,957,974) = 399878622 / 33

LCM(429,957,974) = 12117534


Lets's calculate GCF of 97,40,156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12117534/1

Therefore the LCM of Fractions 429/97,957/40,974/156 is 12117534

Greatest Common Factor of 97,40,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,40,156 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 97,40,156 . The biggest common factor number is the GCF number.
So the greatest common factor 97,40,156 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 429/97, 957/40, 974/156

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 429/97, 957/40, 974/156?

Answer: LCM of Numerators as per given numbers 429/97, 957/40, 974/156 is

LCM of Numerators i.e. for 429,957,974 is 12117534

GCF of denominators i.e. for 97,40,156 is 1.

Thus, LCM of Fractions is 12117534.Finally, LCM of Fractions for 429/97, 957/40, 974/156 is 12117534.