Least Common Multiple of 95/681, 75/352, 507/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/681, 75/352, 507/956 quickly i.e. 240825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/681, 75/352, 507/956 is 240825.

LCM(95/681, 75/352, 507/956) = 240825

LCM of 95/681, 75/352, 507/956

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 95/681,75/352,507/956

Given numbers are 95/681,75/352,507/956

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 95,75,507

Least Common Multiple of Numerators i.e. LCM of 95,75,507 is 240825.

GCF of Denominators means GCF of 681,352,956 as per the given fractions.

GCF of 681,352,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,75,507

LCM of Fractions 95/681,75/352,507/956 is 240825

3 95, 75, 507
5 95, 25, 169
19, 5, 169

∴ So the LCM of the given numbers is 3 x 5 x 19 x 5 x 169 = 240825

Least Common Multiple of 95,75,507 with GCF Formula

Least Common Multiple of 95,75,507 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 95,75,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,75,507) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(95,75,507) x common factors =1 x 15 = 15

LCM(95,75,507) = ( 95 × 75 × 507 ) / 15

LCM(95,75,507) = 3612375 / 15

LCM(95,75,507) = 240825


Lets's calculate GCF of 681,352,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240825/1

Therefore the LCM of Fractions 95/681,75/352,507/956 is 240825

Greatest Common Factor of 681,352,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,352,956 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 681,352,956 . The biggest common factor number is the GCF number.
So the greatest common factor 681,352,956 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/681, 75/352, 507/956

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 95/681, 75/352, 507/956?

Answer: LCM of Numerators as per given numbers 95/681, 75/352, 507/956 is

LCM of Numerators i.e. for 95,75,507 is 240825

GCF of denominators i.e. for 681,352,956 is 1.

Thus, LCM of Fractions is 240825.Finally, LCM of Fractions for 95/681, 75/352, 507/956 is 240825.