Least Common Multiple of 276/636, 2028/7595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 276/636, 2028/7595 quickly i.e. 46644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/636, 2028/7595 is 46644.

LCM(276/636, 2028/7595) = 46644

LCM of 276/636, 2028/7595

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 276/636,2028/7595

Given numbers are 276/636,2028/7595

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 276,2028

Least Common Multiple of Numerators i.e. LCM of 276,2028 is 46644.

GCF of Denominators means GCF of 636,7595 as per the given fractions.

GCF of 636,7595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,2028

LCM of Fractions 276/636,2028/7595 is 46644

2 276, 2028
2 138, 1014
3 69, 507
23, 169

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 169 = 46644

Least Common Multiple of 276,2028 with GCF Formula

Least Common Multiple of 276,2028 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 276,2028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,2028) = 12

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

GCF(276,2028) x common factors =12 x 1 = 12

LCM(276,2028) = ( 276 × 2028 ) / 12

LCM(276,2028) = 559728 / 12

LCM(276,2028) = 46644


Lets's calculate GCF of 636,7595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46644/1

Therefore the LCM of Fractions 276/636,2028/7595 is 46644

Greatest Common Factor of 636,7595 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,7595 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 7595

List of positive integer factors of 7595 that divides 7595 without a remainder.

1,5,7,31,35,49,155,217,245,1085,1519,7595

Greatest Common Factor

We found the factors 636,7595 . The biggest common factor number is the GCF number.
So the greatest common factor 636,7595 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 276/636, 2028/7595

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 276/636, 2028/7595?

Answer: LCM of Numerators as per given numbers 276/636, 2028/7595 is

LCM of Numerators i.e. for 276,2028 is 46644

GCF of denominators i.e. for 636,7595 is 1.

Thus, LCM of Fractions is 46644.Finally, LCM of Fractions for 276/636, 2028/7595 is 46644.