Least Common Multiple of 509/98, 558/72, 715/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/98, 558/72, 715/502 quickly i.e. 101537865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/98, 558/72, 715/502 is 101537865.

LCM(509/98, 558/72, 715/502) = 101537865

LCM of 509/98, 558/72, 715/502

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 509/98,558/72,715/502

Given numbers are 509/98,558/72,715/502

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 509,558,715

Least Common Multiple of Numerators i.e. LCM of 509,558,715 is 203075730.

GCF of Denominators means GCF of 98,72,502 as per the given fractions.

GCF of 98,72,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,558,715

LCM of Fractions 509/98,558/72,715/502 is 101537865

Given numbers has no common factors except 1. So, there LCM is their product i.e 203075730

Least Common Multiple of 509,558,715 with GCF Formula

Least Common Multiple of 509,558,715 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 509,558,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,558,715) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(509,558,715) x common factors =1 x 1 = 1

LCM(509,558,715) = ( 509 × 558 × 715 ) / 1

LCM(509,558,715) = 203075730 / 1

LCM(509,558,715) = 203075730


Lets's calculate GCF of 98,72,502

2 98, 72, 502
49, 36, 251

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203075730/2

Therefore the LCM of Fractions 509/98,558/72,715/502 is 101537865

Greatest Common Factor of 98,72,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,72,502 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 98,72,502 . The biggest common factor number is the GCF number.
So the greatest common factor 98,72,502 is 2.


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 509/98, 558/72, 715/502

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 509/98, 558/72, 715/502?

Answer: LCM of Numerators as per given numbers 509/98, 558/72, 715/502 is

LCM of Numerators i.e. for 509,558,715 is 203075730

GCF of denominators i.e. for 98,72,502 is 2.

Thus, LCM of Fractions is 101537865.Finally, LCM of Fractions for 509/98, 558/72, 715/502 is 101537865.