Least Common Multiple of 514/221, 342/752, 630/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/221, 342/752, 630/500 quickly i.e. 3076290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/221, 342/752, 630/500 is 3076290.

LCM(514/221, 342/752, 630/500) = 3076290

LCM of 514/221, 342/752, 630/500

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 514/221,342/752,630/500

Given numbers are 514/221,342/752,630/500

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 514,342,630

Least Common Multiple of Numerators i.e. LCM of 514,342,630 is 3076290.

GCF of Denominators means GCF of 221,752,500 as per the given fractions.

GCF of 221,752,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,342,630

LCM of Fractions 514/221,342/752,630/500 is 3076290

2 514, 342, 630
3 257, 171, 315
3 257, 57, 105
257, 19, 35

∴ So the LCM of the given numbers is 2 x 3 x 3 x 257 x 19 x 35 = 3076290

Least Common Multiple of 514,342,630 with GCF Formula

Least Common Multiple of 514,342,630 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 514,342,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,342,630) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(514,342,630) x common factors =2 x 18 = 36

LCM(514,342,630) = ( 514 × 342 × 630 ) / 36

LCM(514,342,630) = 110746440 / 36

LCM(514,342,630) = 3076290


Lets's calculate GCF of 221,752,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3076290/1

Therefore the LCM of Fractions 514/221,342/752,630/500 is 3076290

Greatest Common Factor of 221,752,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,752,500 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 221,752,500 . The biggest common factor number is the GCF number.
So the greatest common factor 221,752,500 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 514/221, 342/752, 630/500

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 514/221, 342/752, 630/500?

Answer: LCM of Numerators as per given numbers 514/221, 342/752, 630/500 is

LCM of Numerators i.e. for 514,342,630 is 3076290

GCF of denominators i.e. for 221,752,500 is 1.

Thus, LCM of Fractions is 3076290.Finally, LCM of Fractions for 514/221, 342/752, 630/500 is 3076290.