Least Common Multiple of 44/980, 90/123, 129/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/980, 90/123, 129/476 quickly i.e. 85140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/980, 90/123, 129/476 is 85140.

LCM(44/980, 90/123, 129/476) = 85140

LCM of 44/980, 90/123, 129/476

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 44/980,90/123,129/476

Given numbers are 44/980,90/123,129/476

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 44,90,129

Least Common Multiple of Numerators i.e. LCM of 44,90,129 is 85140.

GCF of Denominators means GCF of 980,123,476 as per the given fractions.

GCF of 980,123,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,90,129

LCM of Fractions 44/980,90/123,129/476 is 85140

2 44, 90, 129
3 22, 45, 129
22, 15, 43

∴ So the LCM of the given numbers is 2 x 3 x 22 x 15 x 43 = 85140

Least Common Multiple of 44,90,129 with GCF Formula

Least Common Multiple of 44,90,129 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 44,90,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,90,129) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,90,129) x common factors =1 x 6 = 6

LCM(44,90,129) = ( 44 × 90 × 129 ) / 6

LCM(44,90,129) = 510840 / 6

LCM(44,90,129) = 85140


Lets's calculate GCF of 980,123,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85140/1

Therefore the LCM of Fractions 44/980,90/123,129/476 is 85140

Greatest Common Factor of 980,123,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,123,476 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 980,123,476 . The biggest common factor number is the GCF number.
So the greatest common factor 980,123,476 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 44/980, 90/123, 129/476

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 44/980, 90/123, 129/476?

Answer: LCM of Numerators as per given numbers 44/980, 90/123, 129/476 is

LCM of Numerators i.e. for 44,90,129 is 85140

GCF of denominators i.e. for 980,123,476 is 1.

Thus, LCM of Fractions is 85140.Finally, LCM of Fractions for 44/980, 90/123, 129/476 is 85140.