Least Common Multiple of 3817/975, 1788/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3817/975, 1788/124 quickly i.e. 6824796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3817/975, 1788/124 is 6824796.

LCM(3817/975, 1788/124) = 6824796

LCM of 3817/975, 1788/124

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 3817/975,1788/124

Given numbers are 3817/975,1788/124

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 3817,1788

Least Common Multiple of Numerators i.e. LCM of 3817,1788 is 6824796.

GCF of Denominators means GCF of 975,124 as per the given fractions.

GCF of 975,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3817,1788

LCM of Fractions 3817/975,1788/124 is 6824796

Given numbers has no common factors except 1. So, there LCM is their product i.e 6824796

Least Common Multiple of 3817,1788 with GCF Formula

Least Common Multiple of 3817,1788 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 3817,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3817,1788) = 1

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

GCF(3817,1788) x common factors =1 x 1 = 1

LCM(3817,1788) = ( 3817 × 1788 ) / 1

LCM(3817,1788) = 6824796 / 1

LCM(3817,1788) = 6824796


Lets's calculate GCF of 975,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6824796/1

Therefore the LCM of Fractions 3817/975,1788/124 is 6824796

Greatest Common Factor of 975,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,124 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 124

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

1,2,4,31,62,124

Greatest Common Factor

We found the factors 975,124 . The biggest common factor number is the GCF number.
So the greatest common factor 975,124 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3817/975, 1788/124

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 3817/975, 1788/124?

Answer: LCM of Numerators as per given numbers 3817/975, 1788/124 is

LCM of Numerators i.e. for 3817,1788 is 6824796

GCF of denominators i.e. for 975,124 is 1.

Thus, LCM of Fractions is 6824796.Finally, LCM of Fractions for 3817/975, 1788/124 is 6824796.