Least Common Multiple of 623/877, 104/987, 130/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 623/877, 104/987, 130/268 quickly i.e. 323960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 623/877, 104/987, 130/268 is 323960.

LCM(623/877, 104/987, 130/268) = 323960

LCM of 623/877, 104/987, 130/268

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 623/877,104/987,130/268

Given numbers are 623/877,104/987,130/268

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 623,104,130

Least Common Multiple of Numerators i.e. LCM of 623,104,130 is 323960.

GCF of Denominators means GCF of 877,987,268 as per the given fractions.

GCF of 877,987,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 623,104,130

LCM of Fractions 623/877,104/987,130/268 is 323960

2 623, 104, 130
13 623, 52, 65
623, 4, 5

∴ So the LCM of the given numbers is 2 x 13 x 623 x 4 x 5 = 323960

Least Common Multiple of 623,104,130 with GCF Formula

Least Common Multiple of 623,104,130 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 623,104,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,104,130) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(623,104,130) x common factors =1 x 26 = 26

LCM(623,104,130) = ( 623 × 104 × 130 ) / 26

LCM(623,104,130) = 8422960 / 26

LCM(623,104,130) = 323960


Lets's calculate GCF of 877,987,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323960/1

Therefore the LCM of Fractions 623/877,104/987,130/268 is 323960

Greatest Common Factor of 877,987,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,987,268 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 877,987,268 . The biggest common factor number is the GCF number.
So the greatest common factor 877,987,268 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 623/877, 104/987, 130/268

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 623/877, 104/987, 130/268?

Answer: LCM of Numerators as per given numbers 623/877, 104/987, 130/268 is

LCM of Numerators i.e. for 623,104,130 is 323960

GCF of denominators i.e. for 877,987,268 is 1.

Thus, LCM of Fractions is 323960.Finally, LCM of Fractions for 623/877, 104/987, 130/268 is 323960.