Least Common Multiple of 6975/889, 7549/4087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6975/889, 7549/4087 quickly i.e. 52654275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6975/889, 7549/4087 is 52654275.

LCM(6975/889, 7549/4087) = 52654275

LCM of 6975/889, 7549/4087

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 6975/889,7549/4087

Given numbers are 6975/889,7549/4087

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 6975,7549

Least Common Multiple of Numerators i.e. LCM of 6975,7549 is 52654275.

GCF of Denominators means GCF of 889,4087 as per the given fractions.

GCF of 889,4087 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6975,7549

LCM of Fractions 6975/889,7549/4087 is 52654275

Given numbers has no common factors except 1. So, there LCM is their product i.e 52654275

Least Common Multiple of 6975,7549 with GCF Formula

Least Common Multiple of 6975,7549 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 6975,7549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6975,7549) = 1

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

GCF(6975,7549) x common factors =1 x 1 = 1

LCM(6975,7549) = ( 6975 × 7549 ) / 1

LCM(6975,7549) = 52654275 / 1

LCM(6975,7549) = 52654275


Lets's calculate GCF of 889,4087

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52654275/1

Therefore the LCM of Fractions 6975/889,7549/4087 is 52654275

Greatest Common Factor of 889,4087 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,4087 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 4087

List of positive integer factors of 4087 that divides 4087 without a remainder.

1,61,67,4087

Greatest Common Factor

We found the factors 889,4087 . The biggest common factor number is the GCF number.
So the greatest common factor 889,4087 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 6975/889, 7549/4087

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 6975/889, 7549/4087?

Answer: LCM of Numerators as per given numbers 6975/889, 7549/4087 is

LCM of Numerators i.e. for 6975,7549 is 52654275

GCF of denominators i.e. for 889,4087 is 1.

Thus, LCM of Fractions is 52654275.Finally, LCM of Fractions for 6975/889, 7549/4087 is 52654275.