Least Common Multiple of 90/862, 52/989, 200/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/862, 52/989, 200/123 quickly i.e. 23400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/862, 52/989, 200/123 is 23400.

LCM(90/862, 52/989, 200/123) = 23400

LCM of 90/862, 52/989, 200/123

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 90/862,52/989,200/123

Given numbers are 90/862,52/989,200/123

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 90,52,200

Least Common Multiple of Numerators i.e. LCM of 90,52,200 is 23400.

GCF of Denominators means GCF of 862,989,123 as per the given fractions.

GCF of 862,989,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,52,200

LCM of Fractions 90/862,52/989,200/123 is 23400

2 90, 52, 200
2 45, 26, 100
5 45, 13, 50
9, 13, 10

∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 x 13 x 10 = 23400

Least Common Multiple of 90,52,200 with GCF Formula

Least Common Multiple of 90,52,200 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 90,52,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,52,200) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(90,52,200) x common factors =2 x 20 = 40

LCM(90,52,200) = ( 90 × 52 × 200 ) / 40

LCM(90,52,200) = 936000 / 40

LCM(90,52,200) = 23400


Lets's calculate GCF of 862,989,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23400/1

Therefore the LCM of Fractions 90/862,52/989,200/123 is 23400

Greatest Common Factor of 862,989,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,989,123 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 123

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

1,3,41,123

Greatest Common Factor

We found the factors 862,989,123 . The biggest common factor number is the GCF number.
So the greatest common factor 862,989,123 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/862, 52/989, 200/123

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 90/862, 52/989, 200/123?

Answer: LCM of Numerators as per given numbers 90/862, 52/989, 200/123 is

LCM of Numerators i.e. for 90,52,200 is 23400

GCF of denominators i.e. for 862,989,123 is 1.

Thus, LCM of Fractions is 23400.Finally, LCM of Fractions for 90/862, 52/989, 200/123 is 23400.