Least Common Multiple of 926/32, 917/3138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 926/32, 917/3138 quickly i.e. 424571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/32, 917/3138 is 424571.

LCM(926/32, 917/3138) = 424571

LCM of 926/32, 917/3138

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 926/32,917/3138

Given numbers are 926/32,917/3138

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 926,917

Least Common Multiple of Numerators i.e. LCM of 926,917 is 849142.

GCF of Denominators means GCF of 32,3138 as per the given fractions.

GCF of 32,3138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,917

LCM of Fractions 926/32,917/3138 is 424571

Given numbers has no common factors except 1. So, there LCM is their product i.e 849142

Least Common Multiple of 926,917 with GCF Formula

Least Common Multiple of 926,917 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 926,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,917) = 1

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

GCF(926,917) x common factors =1 x 1 = 1

LCM(926,917) = ( 926 × 917 ) / 1

LCM(926,917) = 849142 / 1

LCM(926,917) = 849142


Lets's calculate GCF of 32,3138

2 32, 3138
16, 1569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849142/2

Therefore the LCM of Fractions 926/32,917/3138 is 424571

Greatest Common Factor of 32,3138 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,3138 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1,2,3,6,523,1046,1569,3138

Greatest Common Factor

We found the factors 32,3138 . The biggest common factor number is the GCF number.
So the greatest common factor 32,3138 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 926/32, 917/3138

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 926/32, 917/3138?

Answer: LCM of Numerators as per given numbers 926/32, 917/3138 is

LCM of Numerators i.e. for 926,917 is 849142

GCF of denominators i.e. for 32,3138 is 2.

Thus, LCM of Fractions is 424571.Finally, LCM of Fractions for 926/32, 917/3138 is 424571.