Least Common Multiple of 120/80, 266/92, 550/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/80, 266/92, 550/572 quickly i.e. 219450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/80, 266/92, 550/572 is 219450.

LCM(120/80, 266/92, 550/572) = 219450

LCM of 120/80, 266/92, 550/572

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 120/80,266/92,550/572

Given numbers are 120/80,266/92,550/572

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 120,266,550

Least Common Multiple of Numerators i.e. LCM of 120,266,550 is 877800.

GCF of Denominators means GCF of 80,92,572 as per the given fractions.

GCF of 80,92,572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,266,550

LCM of Fractions 120/80,266/92,550/572 is 219450

2 120, 266, 550
5 60, 133, 275
12, 133, 55

∴ So the LCM of the given numbers is 2 x 5 x 12 x 133 x 55 = 877800

Least Common Multiple of 120,266,550 with GCF Formula

Least Common Multiple of 120,266,550 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 120,266,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,266,550) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(120,266,550) x common factors =2 x 10 = 20

LCM(120,266,550) = ( 120 × 266 × 550 ) / 20

LCM(120,266,550) = 17556000 / 20

LCM(120,266,550) = 877800


Lets's calculate GCF of 80,92,572

2 80, 92, 572
2 40, 46, 286
20, 23, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 877800/4

Therefore the LCM of Fractions 120/80,266/92,550/572 is 219450

Greatest Common Factor of 80,92,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,92,572 By Matching Biggest Common Factor Method

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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 80,92,572 . The biggest common factor number is the GCF number.
So the greatest common factor 80,92,572 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 120/80, 266/92, 550/572

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 120/80, 266/92, 550/572?

Answer: LCM of Numerators as per given numbers 120/80, 266/92, 550/572 is

LCM of Numerators i.e. for 120,266,550 is 877800

GCF of denominators i.e. for 80,92,572 is 4.

Thus, LCM of Fractions is 219450.Finally, LCM of Fractions for 120/80, 266/92, 550/572 is 219450.