Least Common Multiple of 2960/120, 5078/5001

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2960/120, 5078/5001 quickly i.e. 7515440/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2960/120, 5078/5001 is 7515440/3.

LCM(2960/120, 5078/5001) = 7515440/3

LCM of 2960/120, 5078/5001

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 2960/120,5078/5001

Given numbers are 2960/120,5078/5001

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 2960,5078

Least Common Multiple of Numerators i.e. LCM of 2960,5078 is 7515440.

GCF of Denominators means GCF of 120,5001 as per the given fractions.

GCF of 120,5001 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2960,5078

LCM of Fractions 2960/120,5078/5001 is 7515440/3

2 2960, 5078
1480, 2539

∴ So the LCM of the given numbers is 2 x 1480 x 2539 = 7515440

Least Common Multiple of 2960,5078 with GCF Formula

Least Common Multiple of 2960,5078 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 2960,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2960,5078) = 2

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

GCF(2960,5078) x common factors =2 x 1 = 2

LCM(2960,5078) = ( 2960 × 5078 ) / 2

LCM(2960,5078) = 15030880 / 2

LCM(2960,5078) = 7515440


Lets's calculate GCF of 120,5001

3 120, 5001
40, 1667

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7515440/3

Therefore the LCM of Fractions 2960/120,5078/5001 is 7515440/3

Greatest Common Factor of 120,5001 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,5001 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 5001

List of positive integer factors of 5001 that divides 5001 without a remainder.

1,3,1667,5001

Greatest Common Factor

We found the factors 120,5001 . The biggest common factor number is the GCF number.
So the greatest common factor 120,5001 is 3.


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 2960/120, 5078/5001

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 2960/120, 5078/5001?

Answer: LCM of Numerators as per given numbers 2960/120, 5078/5001 is

LCM of Numerators i.e. for 2960,5078 is 7515440

GCF of denominators i.e. for 120,5001 is 3.

Thus, LCM of Fractions is 7515440/3.Finally, LCM of Fractions for 2960/120, 5078/5001 is 7515440/3.