Least Common Multiple of 873/98, 5670/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/98, 5670/132 quickly i.e. 274995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/98, 5670/132 is 274995.

LCM(873/98, 5670/132) = 274995

LCM of 873/98, 5670/132

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 873/98,5670/132

Given numbers are 873/98,5670/132

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 873,5670

Least Common Multiple of Numerators i.e. LCM of 873,5670 is 549990.

GCF of Denominators means GCF of 98,132 as per the given fractions.

GCF of 98,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,5670

LCM of Fractions 873/98,5670/132 is 274995

3 873, 5670
3 291, 1890
97, 630

∴ So the LCM of the given numbers is 3 x 3 x 97 x 630 = 549990

Least Common Multiple of 873,5670 with GCF Formula

Least Common Multiple of 873,5670 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 873,5670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,5670) = 9

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

GCF(873,5670) x common factors =9 x 1 = 9

LCM(873,5670) = ( 873 × 5670 ) / 9

LCM(873,5670) = 4949910 / 9

LCM(873,5670) = 549990


Lets's calculate GCF of 98,132

2 98, 132
49, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549990/2

Therefore the LCM of Fractions 873/98,5670/132 is 274995

Greatest Common Factor of 98,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,132 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 98,132 . The biggest common factor number is the GCF number.
So the greatest common factor 98,132 is 2.


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 873/98, 5670/132

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 873/98, 5670/132?

Answer: LCM of Numerators as per given numbers 873/98, 5670/132 is

LCM of Numerators i.e. for 873,5670 is 549990

GCF of denominators i.e. for 98,132 is 2.

Thus, LCM of Fractions is 274995.Finally, LCM of Fractions for 873/98, 5670/132 is 274995.