Least Common Multiple of 90/739, 12/103, 989/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/739, 12/103, 989/432 quickly i.e. 178020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/739, 12/103, 989/432 is 178020.

LCM(90/739, 12/103, 989/432) = 178020

LCM of 90/739, 12/103, 989/432

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 90/739,12/103,989/432

Given numbers are 90/739,12/103,989/432

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 90,12,989

Least Common Multiple of Numerators i.e. LCM of 90,12,989 is 178020.

GCF of Denominators means GCF of 739,103,432 as per the given fractions.

GCF of 739,103,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,12,989

LCM of Fractions 90/739,12/103,989/432 is 178020

2 90, 12, 989
3 45, 6, 989
15, 2, 989

∴ So the LCM of the given numbers is 2 x 3 x 15 x 2 x 989 = 178020

Least Common Multiple of 90,12,989 with GCF Formula

Least Common Multiple of 90,12,989 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 90,12,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,12,989) = 1

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

GCF(90,12,989) x common factors =1 x 6 = 6

LCM(90,12,989) = ( 90 × 12 × 989 ) / 6

LCM(90,12,989) = 1068120 / 6

LCM(90,12,989) = 178020


Lets's calculate GCF of 739,103,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178020/1

Therefore the LCM of Fractions 90/739,12/103,989/432 is 178020

Greatest Common Factor of 739,103,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,103,432 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 739,103,432 . The biggest common factor number is the GCF number.
So the greatest common factor 739,103,432 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 90/739, 12/103, 989/432

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 90/739, 12/103, 989/432?

Answer: LCM of Numerators as per given numbers 90/739, 12/103, 989/432 is

LCM of Numerators i.e. for 90,12,989 is 178020

GCF of denominators i.e. for 739,103,432 is 1.

Thus, LCM of Fractions is 178020.Finally, LCM of Fractions for 90/739, 12/103, 989/432 is 178020.