Least Common Multiple of 926/157, 7626/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 926/157, 7626/458 quickly i.e. 3530838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/157, 7626/458 is 3530838.

LCM(926/157, 7626/458) = 3530838

LCM of 926/157, 7626/458

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 926/157,7626/458

Given numbers are 926/157,7626/458

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 926,7626

Least Common Multiple of Numerators i.e. LCM of 926,7626 is 3530838.

GCF of Denominators means GCF of 157,458 as per the given fractions.

GCF of 157,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,7626

LCM of Fractions 926/157,7626/458 is 3530838

2 926, 7626
463, 3813

∴ So the LCM of the given numbers is 2 x 463 x 3813 = 3530838

Least Common Multiple of 926,7626 with GCF Formula

Least Common Multiple of 926,7626 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 926,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,7626) = 2

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

GCF(926,7626) x common factors =2 x 1 = 2

LCM(926,7626) = ( 926 × 7626 ) / 2

LCM(926,7626) = 7061676 / 2

LCM(926,7626) = 3530838


Lets's calculate GCF of 157,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3530838/1

Therefore the LCM of Fractions 926/157,7626/458 is 3530838

Greatest Common Factor of 157,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,458 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 157,458 . The biggest common factor number is the GCF number.
So the greatest common factor 157,458 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 926/157, 7626/458

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 926/157, 7626/458?

Answer: LCM of Numerators as per given numbers 926/157, 7626/458 is

LCM of Numerators i.e. for 926,7626 is 3530838

GCF of denominators i.e. for 157,458 is 1.

Thus, LCM of Fractions is 3530838.Finally, LCM of Fractions for 926/157, 7626/458 is 3530838.