Least Common Multiple of 156/344, 9142/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/344, 9142/934 quickly i.e. 356538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/344, 9142/934 is 356538.

LCM(156/344, 9142/934) = 356538

LCM of 156/344, 9142/934

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 156/344,9142/934

Given numbers are 156/344,9142/934

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 156,9142

Least Common Multiple of Numerators i.e. LCM of 156,9142 is 713076.

GCF of Denominators means GCF of 344,934 as per the given fractions.

GCF of 344,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,9142

LCM of Fractions 156/344,9142/934 is 356538

2 156, 9142
78, 4571

∴ So the LCM of the given numbers is 2 x 78 x 4571 = 713076

Least Common Multiple of 156,9142 with GCF Formula

Least Common Multiple of 156,9142 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 156,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,9142) = 2

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

GCF(156,9142) x common factors =2 x 1 = 2

LCM(156,9142) = ( 156 × 9142 ) / 2

LCM(156,9142) = 1426152 / 2

LCM(156,9142) = 713076


Lets's calculate GCF of 344,934

2 344, 934
172, 467

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 713076/2

Therefore the LCM of Fractions 156/344,9142/934 is 356538

Greatest Common Factor of 344,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,934 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 344,934 . The biggest common factor number is the GCF number.
So the greatest common factor 344,934 is 2.


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 156/344, 9142/934

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 156/344, 9142/934?

Answer: LCM of Numerators as per given numbers 156/344, 9142/934 is

LCM of Numerators i.e. for 156,9142 is 713076

GCF of denominators i.e. for 344,934 is 2.

Thus, LCM of Fractions is 356538.Finally, LCM of Fractions for 156/344, 9142/934 is 356538.