Least Common Multiple of 95/748, 25/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/748, 25/836 quickly i.e. 475/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/748, 25/836 is 475/44.

LCM(95/748, 25/836) = 475/44

LCM of 95/748, 25/836

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 95/748,25/836

Given numbers are 95/748,25/836

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 95,25

Least Common Multiple of Numerators i.e. LCM of 95,25 is 475.

GCF of Denominators means GCF of 748,836 as per the given fractions.

GCF of 748,836 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,25

LCM of Fractions 95/748,25/836 is 475/44

5 95, 25
19, 5

∴ So the LCM of the given numbers is 5 x 19 x 5 = 475

Least Common Multiple of 95,25 with GCF Formula

Least Common Multiple of 95,25 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 95,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,25) = 5

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

GCF(95,25) x common factors =5 x 1 = 5

LCM(95,25) = ( 95 × 25 ) / 5

LCM(95,25) = 2375 / 5

LCM(95,25) = 475


Lets's calculate GCF of 748,836

2 748, 836
2 374, 418
11 187, 209
17, 19

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 475/44

Therefore the LCM of Fractions 95/748,25/836 is 475/44

Greatest Common Factor of 748,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,836 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 748,836 . The biggest common factor number is the GCF number.
So the greatest common factor 748,836 is 44.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 95/748, 25/836

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 95/748, 25/836?

Answer: LCM of Numerators as per given numbers 95/748, 25/836 is

LCM of Numerators i.e. for 95,25 is 475

GCF of denominators i.e. for 748,836 is 44.

Thus, LCM of Fractions is 475/44.Finally, LCM of Fractions for 95/748, 25/836 is 475/44.