Least Common Multiple of 1971/982, 7126/3837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1971/982, 7126/3837 quickly i.e. 14045346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1971/982, 7126/3837 is 14045346.

LCM(1971/982, 7126/3837) = 14045346

LCM of 1971/982, 7126/3837

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 1971/982,7126/3837

Given numbers are 1971/982,7126/3837

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 1971,7126

Least Common Multiple of Numerators i.e. LCM of 1971,7126 is 14045346.

GCF of Denominators means GCF of 982,3837 as per the given fractions.

GCF of 982,3837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1971,7126

LCM of Fractions 1971/982,7126/3837 is 14045346

Given numbers has no common factors except 1. So, there LCM is their product i.e 14045346

Least Common Multiple of 1971,7126 with GCF Formula

Least Common Multiple of 1971,7126 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 1971,7126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1971,7126) = 1

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

GCF(1971,7126) x common factors =1 x 1 = 1

LCM(1971,7126) = ( 1971 × 7126 ) / 1

LCM(1971,7126) = 14045346 / 1

LCM(1971,7126) = 14045346


Lets's calculate GCF of 982,3837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14045346/1

Therefore the LCM of Fractions 1971/982,7126/3837 is 14045346

Greatest Common Factor of 982,3837 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,3837 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

Greatest Common Factor

We found the factors 982,3837 . The biggest common factor number is the GCF number.
So the greatest common factor 982,3837 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1971/982, 7126/3837

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 1971/982, 7126/3837?

Answer: LCM of Numerators as per given numbers 1971/982, 7126/3837 is

LCM of Numerators i.e. for 1971,7126 is 14045346

GCF of denominators i.e. for 982,3837 is 1.

Thus, LCM of Fractions is 14045346.Finally, LCM of Fractions for 1971/982, 7126/3837 is 14045346.