Least Common Multiple of 141/44, 978/7560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/44, 978/7560 quickly i.e. 45966/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/44, 978/7560 is 45966/4.

LCM(141/44, 978/7560) = 45966/4

LCM of 141/44, 978/7560

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 141/44,978/7560

Given numbers are 141/44,978/7560

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 141,978

Least Common Multiple of Numerators i.e. LCM of 141,978 is 45966.

GCF of Denominators means GCF of 44,7560 as per the given fractions.

GCF of 44,7560 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,978

LCM of Fractions 141/44,978/7560 is 45966/4

3 141, 978
47, 326

∴ So the LCM of the given numbers is 3 x 47 x 326 = 45966

Least Common Multiple of 141,978 with GCF Formula

Least Common Multiple of 141,978 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 141,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,978) = 3

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

GCF(141,978) x common factors =3 x 1 = 3

LCM(141,978) = ( 141 × 978 ) / 3

LCM(141,978) = 137898 / 3

LCM(141,978) = 45966


Lets's calculate GCF of 44,7560

2 44, 7560
2 22, 3780
11, 1890

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45966/4

Therefore the LCM of Fractions 141/44,978/7560 is 45966/4

Greatest Common Factor of 44,7560 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,7560 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Greatest Common Factor

We found the factors 44,7560 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7560 is 4.


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 141/44, 978/7560

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 141/44, 978/7560?

Answer: LCM of Numerators as per given numbers 141/44, 978/7560 is

LCM of Numerators i.e. for 141,978 is 45966

GCF of denominators i.e. for 44,7560 is 4.

Thus, LCM of Fractions is 45966/4.Finally, LCM of Fractions for 141/44, 978/7560 is 45966/4.