Least Common Multiple of 51/902, 585/139, 914/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/902, 585/139, 914/431 quickly i.e. 9089730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/902, 585/139, 914/431 is 9089730.

LCM(51/902, 585/139, 914/431) = 9089730

LCM of 51/902, 585/139, 914/431

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 51/902,585/139,914/431

Given numbers are 51/902,585/139,914/431

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 51,585,914

Least Common Multiple of Numerators i.e. LCM of 51,585,914 is 9089730.

GCF of Denominators means GCF of 902,139,431 as per the given fractions.

GCF of 902,139,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,585,914

LCM of Fractions 51/902,585/139,914/431 is 9089730

3 51, 585, 914
17, 195, 914

∴ So the LCM of the given numbers is 3 x 17 x 195 x 914 = 9089730

Least Common Multiple of 51,585,914 with GCF Formula

Least Common Multiple of 51,585,914 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 51,585,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,585,914) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,585,914) x common factors =1 x 3 = 3

LCM(51,585,914) = ( 51 × 585 × 914 ) / 3

LCM(51,585,914) = 27269190 / 3

LCM(51,585,914) = 9089730


Lets's calculate GCF of 902,139,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9089730/1

Therefore the LCM of Fractions 51/902,585/139,914/431 is 9089730

Greatest Common Factor of 902,139,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,139,431 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 902,139,431 . The biggest common factor number is the GCF number.
So the greatest common factor 902,139,431 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 51/902, 585/139, 914/431

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 51/902, 585/139, 914/431?

Answer: LCM of Numerators as per given numbers 51/902, 585/139, 914/431 is

LCM of Numerators i.e. for 51,585,914 is 9089730

GCF of denominators i.e. for 902,139,431 is 1.

Thus, LCM of Fractions is 9089730.Finally, LCM of Fractions for 51/902, 585/139, 914/431 is 9089730.