Least Common Multiple of 577/218, 6500/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/218, 6500/172 quickly i.e. 1875250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/218, 6500/172 is 1875250.

LCM(577/218, 6500/172) = 1875250

LCM of 577/218, 6500/172

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 577/218,6500/172

Given numbers are 577/218,6500/172

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 577,6500

Least Common Multiple of Numerators i.e. LCM of 577,6500 is 3750500.

GCF of Denominators means GCF of 218,172 as per the given fractions.

GCF of 218,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,6500

LCM of Fractions 577/218,6500/172 is 1875250

Given numbers has no common factors except 1. So, there LCM is their product i.e 3750500

Least Common Multiple of 577,6500 with GCF Formula

Least Common Multiple of 577,6500 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 577,6500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,6500) = 1

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

GCF(577,6500) x common factors =1 x 1 = 1

LCM(577,6500) = ( 577 × 6500 ) / 1

LCM(577,6500) = 3750500 / 1

LCM(577,6500) = 3750500


Lets's calculate GCF of 218,172

2 218, 172
109, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3750500/2

Therefore the LCM of Fractions 577/218,6500/172 is 1875250

Greatest Common Factor of 218,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,172 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 218,172 . The biggest common factor number is the GCF number.
So the greatest common factor 218,172 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 577/218, 6500/172

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 577/218, 6500/172?

Answer: LCM of Numerators as per given numbers 577/218, 6500/172 is

LCM of Numerators i.e. for 577,6500 is 3750500

GCF of denominators i.e. for 218,172 is 2.

Thus, LCM of Fractions is 1875250.Finally, LCM of Fractions for 577/218, 6500/172 is 1875250.