Least Common Multiple of 7126/10, 5945/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7126/10, 5945/428 quickly i.e. 21182035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7126/10, 5945/428 is 21182035.

LCM(7126/10, 5945/428) = 21182035

LCM of 7126/10, 5945/428

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 7126/10,5945/428

Given numbers are 7126/10,5945/428

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 7126,5945

Least Common Multiple of Numerators i.e. LCM of 7126,5945 is 42364070.

GCF of Denominators means GCF of 10,428 as per the given fractions.

GCF of 10,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7126,5945

LCM of Fractions 7126/10,5945/428 is 21182035

Given numbers has no common factors except 1. So, there LCM is their product i.e 42364070

Least Common Multiple of 7126,5945 with GCF Formula

Least Common Multiple of 7126,5945 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 7126,5945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7126,5945) = 1

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

GCF(7126,5945) x common factors =1 x 1 = 1

LCM(7126,5945) = ( 7126 × 5945 ) / 1

LCM(7126,5945) = 42364070 / 1

LCM(7126,5945) = 42364070


Lets's calculate GCF of 10,428

2 10, 428
5, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42364070/2

Therefore the LCM of Fractions 7126/10,5945/428 is 21182035

Greatest Common Factor of 10,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,428 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 10,428 . The biggest common factor number is the GCF number.
So the greatest common factor 10,428 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 7126/10, 5945/428

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 7126/10, 5945/428?

Answer: LCM of Numerators as per given numbers 7126/10, 5945/428 is

LCM of Numerators i.e. for 7126,5945 is 42364070

GCF of denominators i.e. for 10,428 is 2.

Thus, LCM of Fractions is 21182035.Finally, LCM of Fractions for 7126/10, 5945/428 is 21182035.