Least Common Multiple of 129/112, 610/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 129/112, 610/468 quickly i.e. 78690/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 129/112, 610/468 is 78690/4.

LCM(129/112, 610/468) = 78690/4

LCM of 129/112, 610/468

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 129/112,610/468

Given numbers are 129/112,610/468

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 129,610

Least Common Multiple of Numerators i.e. LCM of 129,610 is 78690.

GCF of Denominators means GCF of 112,468 as per the given fractions.

GCF of 112,468 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 129,610

LCM of Fractions 129/112,610/468 is 78690/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 78690

Least Common Multiple of 129,610 with GCF Formula

Least Common Multiple of 129,610 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 129,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,610) = 1

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

GCF(129,610) x common factors =1 x 1 = 1

LCM(129,610) = ( 129 × 610 ) / 1

LCM(129,610) = 78690 / 1

LCM(129,610) = 78690


Lets's calculate GCF of 112,468

2 112, 468
2 56, 234
28, 117

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78690/4

Therefore the LCM of Fractions 129/112,610/468 is 78690/4

Greatest Common Factor of 112,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,468 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 112,468 . The biggest common factor number is the GCF number.
So the greatest common factor 112,468 is 4.


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 129/112, 610/468

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 129/112, 610/468?

Answer: LCM of Numerators as per given numbers 129/112, 610/468 is

LCM of Numerators i.e. for 129,610 is 78690

GCF of denominators i.e. for 112,468 is 4.

Thus, LCM of Fractions is 78690/4.Finally, LCM of Fractions for 129/112, 610/468 is 78690/4.