Least Common Multiple of 220/756, 7726/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 220/756, 7726/404 quickly i.e. 212465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 220/756, 7726/404 is 212465.

LCM(220/756, 7726/404) = 212465

LCM of 220/756, 7726/404

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 220/756,7726/404

Given numbers are 220/756,7726/404

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 220,7726

Least Common Multiple of Numerators i.e. LCM of 220,7726 is 849860.

GCF of Denominators means GCF of 756,404 as per the given fractions.

GCF of 756,404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 220,7726

LCM of Fractions 220/756,7726/404 is 212465

2 220, 7726
110, 3863

∴ So the LCM of the given numbers is 2 x 110 x 3863 = 849860

Least Common Multiple of 220,7726 with GCF Formula

Least Common Multiple of 220,7726 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 220,7726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,7726) = 2

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

GCF(220,7726) x common factors =2 x 1 = 2

LCM(220,7726) = ( 220 × 7726 ) / 2

LCM(220,7726) = 1699720 / 2

LCM(220,7726) = 849860


Lets's calculate GCF of 756,404

2 756, 404
2 378, 202
189, 101

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849860/4

Therefore the LCM of Fractions 220/756,7726/404 is 212465

Greatest Common Factor of 756,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,404 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 756,404 . The biggest common factor number is the GCF number.
So the greatest common factor 756,404 is 4.


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 220/756, 7726/404

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 220/756, 7726/404?

Answer: LCM of Numerators as per given numbers 220/756, 7726/404 is

LCM of Numerators i.e. for 220,7726 is 849860

GCF of denominators i.e. for 756,404 is 4.

Thus, LCM of Fractions is 212465.Finally, LCM of Fractions for 220/756, 7726/404 is 212465.