Least Common Multiple of 1147/124, 3175/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1147/124, 3175/822 quickly i.e. 3641725/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1147/124, 3175/822 is 3641725/2.

LCM(1147/124, 3175/822) = 3641725/2

LCM of 1147/124, 3175/822

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 1147/124,3175/822

Given numbers are 1147/124,3175/822

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 1147,3175

Least Common Multiple of Numerators i.e. LCM of 1147,3175 is 3641725.

GCF of Denominators means GCF of 124,822 as per the given fractions.

GCF of 124,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1147,3175

LCM of Fractions 1147/124,3175/822 is 3641725/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3641725

Least Common Multiple of 1147,3175 with GCF Formula

Least Common Multiple of 1147,3175 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 1147,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1147,3175) = 1

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

GCF(1147,3175) x common factors =1 x 1 = 1

LCM(1147,3175) = ( 1147 × 3175 ) / 1

LCM(1147,3175) = 3641725 / 1

LCM(1147,3175) = 3641725


Lets's calculate GCF of 124,822

2 124, 822
62, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3641725/2

Therefore the LCM of Fractions 1147/124,3175/822 is 3641725/2

Greatest Common Factor of 124,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,822 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 124,822 . The biggest common factor number is the GCF number.
So the greatest common factor 124,822 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1147/124, 3175/822

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 1147/124, 3175/822?

Answer: LCM of Numerators as per given numbers 1147/124, 3175/822 is

LCM of Numerators i.e. for 1147,3175 is 3641725

GCF of denominators i.e. for 124,822 is 2.

Thus, LCM of Fractions is 3641725/2.Finally, LCM of Fractions for 1147/124, 3175/822 is 3641725/2.