Least Common Multiple of 51/75, 883/97, 988/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/75, 883/97, 988/871 quickly i.e. 44492604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/75, 883/97, 988/871 is 44492604.

LCM(51/75, 883/97, 988/871) = 44492604

LCM of 51/75, 883/97, 988/871

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 51/75,883/97,988/871

Given numbers are 51/75,883/97,988/871

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 51,883,988

Least Common Multiple of Numerators i.e. LCM of 51,883,988 is 44492604.

GCF of Denominators means GCF of 75,97,871 as per the given fractions.

GCF of 75,97,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,883,988

LCM of Fractions 51/75,883/97,988/871 is 44492604

Given numbers has no common factors except 1. So, there LCM is their product i.e 44492604

Least Common Multiple of 51,883,988 with GCF Formula

Least Common Multiple of 51,883,988 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 51,883,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,883,988) = 1

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

GCF(51,883,988) x common factors =1 x 1 = 1

LCM(51,883,988) = ( 51 × 883 × 988 ) / 1

LCM(51,883,988) = 44492604 / 1

LCM(51,883,988) = 44492604


Lets's calculate GCF of 75,97,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44492604/1

Therefore the LCM of Fractions 51/75,883/97,988/871 is 44492604

Greatest Common Factor of 75,97,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,97,871 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 75,97,871 . The biggest common factor number is the GCF number.
So the greatest common factor 75,97,871 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 51/75, 883/97, 988/871

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 51/75, 883/97, 988/871?

Answer: LCM of Numerators as per given numbers 51/75, 883/97, 988/871 is

LCM of Numerators i.e. for 51,883,988 is 44492604

GCF of denominators i.e. for 75,97,871 is 1.

Thus, LCM of Fractions is 44492604.Finally, LCM of Fractions for 51/75, 883/97, 988/871 is 44492604.