Least Common Multiple of 45/94, 58/94, 99/80, 80/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/94, 58/94, 99/80, 80/639 quickly i.e. 229680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/94, 58/94, 99/80, 80/639 is 229680.

LCM(45/94, 58/94, 99/80, 80/639) = 229680

LCM of 45/94, 58/94, 99/80, 80/639

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 45/94,58/94,99/80,80/639

Given numbers are 45/94,58/94,99/80,80/639

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 45,58,99,80

Least Common Multiple of Numerators i.e. LCM of 45,58,99,80 is 229680.

GCF of Denominators means GCF of 94,94,80,639 as per the given fractions.

GCF of 94,94,80,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,58,99,80

LCM of Fractions 45/94,58/94,99/80,80/639 is 229680

2 45, 58, 99, 80
3 45, 29, 99, 40
3 15, 29, 33, 40
5 5, 29, 11, 40
1, 29, 11, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 29 x 11 x 8 = 229680

Least Common Multiple of 45,58,99,80 with GCF Formula

Least Common Multiple of 45,58,99,80 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 45,58,99,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,58,99,80) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(45,58,99,80) x common factors =1 x 90 = 90

LCM(45,58,99,80) = ( 45 × 58 × 99 × 80 ) / 90

LCM(45,58,99,80) = 20671200 / 90

LCM(45,58,99,80) = 229680


Lets's calculate GCF of 94,94,80,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229680/1

Therefore the LCM of Fractions 45/94,58/94,99/80,80/639 is 229680

Greatest Common Factor of 94,94,80,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,94,80,639 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 94,94,80,639 . The biggest common factor number is the GCF number.
So the greatest common factor 94,94,80,639 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/94, 58/94, 99/80, 80/639

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 45/94, 58/94, 99/80, 80/639?

Answer: LCM of Numerators as per given numbers 45/94, 58/94, 99/80, 80/639 is

LCM of Numerators i.e. for 45,58,99,80 is 229680

GCF of denominators i.e. for 94,94,80,639 is 1.

Thus, LCM of Fractions is 229680.Finally, LCM of Fractions for 45/94, 58/94, 99/80, 80/639 is 229680.