Least Common Multiple of 7598/142, 1981/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7598/142, 1981/664 quickly i.e. 7525819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7598/142, 1981/664 is 7525819.

LCM(7598/142, 1981/664) = 7525819

LCM of 7598/142, 1981/664

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 7598/142,1981/664

Given numbers are 7598/142,1981/664

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 7598,1981

Least Common Multiple of Numerators i.e. LCM of 7598,1981 is 15051638.

GCF of Denominators means GCF of 142,664 as per the given fractions.

GCF of 142,664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7598,1981

LCM of Fractions 7598/142,1981/664 is 7525819

Given numbers has no common factors except 1. So, there LCM is their product i.e 15051638

Least Common Multiple of 7598,1981 with GCF Formula

Least Common Multiple of 7598,1981 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 7598,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7598,1981) = 1

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

GCF(7598,1981) x common factors =1 x 1 = 1

LCM(7598,1981) = ( 7598 × 1981 ) / 1

LCM(7598,1981) = 15051638 / 1

LCM(7598,1981) = 15051638


Lets's calculate GCF of 142,664

2 142, 664
71, 332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15051638/2

Therefore the LCM of Fractions 7598/142,1981/664 is 7525819

Greatest Common Factor of 142,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,664 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 142,664 . The biggest common factor number is the GCF number.
So the greatest common factor 142,664 is 2.


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 7598/142, 1981/664

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 7598/142, 1981/664?

Answer: LCM of Numerators as per given numbers 7598/142, 1981/664 is

LCM of Numerators i.e. for 7598,1981 is 15051638

GCF of denominators i.e. for 142,664 is 2.

Thus, LCM of Fractions is 7525819.Finally, LCM of Fractions for 7598/142, 1981/664 is 7525819.