Least Common Multiple of 500/336, 930/677, 250/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/336, 930/677, 250/609 quickly i.e. 46500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/336, 930/677, 250/609 is 46500.

LCM(500/336, 930/677, 250/609) = 46500

LCM of 500/336, 930/677, 250/609

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 500/336,930/677,250/609

Given numbers are 500/336,930/677,250/609

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 500,930,250

Least Common Multiple of Numerators i.e. LCM of 500,930,250 is 46500.

GCF of Denominators means GCF of 336,677,609 as per the given fractions.

GCF of 336,677,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,930,250

LCM of Fractions 500/336,930/677,250/609 is 46500

2 500, 930, 250
5 250, 465, 125
5 50, 93, 25
5 10, 93, 5
2, 93, 1

∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 2 x 93 x 1 = 46500

Least Common Multiple of 500,930,250 with GCF Formula

Least Common Multiple of 500,930,250 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 500,930,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,930,250) = 10

common factors(in case of two or more numbers have common factors) = 250

GCF(500,930,250) x common factors =10 x 250 = 2500

LCM(500,930,250) = ( 500 × 930 × 250 ) / 2500

LCM(500,930,250) = 116250000 / 2500

LCM(500,930,250) = 46500


Lets's calculate GCF of 336,677,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46500/1

Therefore the LCM of Fractions 500/336,930/677,250/609 is 46500

Greatest Common Factor of 336,677,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,677,609 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 336,677,609 . The biggest common factor number is the GCF number.
So the greatest common factor 336,677,609 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 500/336, 930/677, 250/609

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 500/336, 930/677, 250/609?

Answer: LCM of Numerators as per given numbers 500/336, 930/677, 250/609 is

LCM of Numerators i.e. for 500,930,250 is 46500

GCF of denominators i.e. for 336,677,609 is 1.

Thus, LCM of Fractions is 46500.Finally, LCM of Fractions for 500/336, 930/677, 250/609 is 46500.