Least Common Multiple of 88/152, 5875/2040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/152, 5875/2040 quickly i.e. 64625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/152, 5875/2040 is 64625.

LCM(88/152, 5875/2040) = 64625

LCM of 88/152, 5875/2040

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 88/152,5875/2040

Given numbers are 88/152,5875/2040

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 88,5875

Least Common Multiple of Numerators i.e. LCM of 88,5875 is 517000.

GCF of Denominators means GCF of 152,2040 as per the given fractions.

GCF of 152,2040 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,5875

LCM of Fractions 88/152,5875/2040 is 64625

Given numbers has no common factors except 1. So, there LCM is their product i.e 517000

Least Common Multiple of 88,5875 with GCF Formula

Least Common Multiple of 88,5875 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 88,5875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,5875) = 1

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

GCF(88,5875) x common factors =1 x 1 = 1

LCM(88,5875) = ( 88 × 5875 ) / 1

LCM(88,5875) = 517000 / 1

LCM(88,5875) = 517000


Lets's calculate GCF of 152,2040

2 152, 2040
2 76, 1020
2 38, 510
19, 255

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517000/8

Therefore the LCM of Fractions 88/152,5875/2040 is 64625

Greatest Common Factor of 152,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,2040 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 152,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 152,2040 is 8.


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 88/152, 5875/2040

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 88/152, 5875/2040?

Answer: LCM of Numerators as per given numbers 88/152, 5875/2040 is

LCM of Numerators i.e. for 88,5875 is 517000

GCF of denominators i.e. for 152,2040 is 8.

Thus, LCM of Fractions is 64625.Finally, LCM of Fractions for 88/152, 5875/2040 is 64625.