Least Common Multiple of 219/20, 761/88, 643/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/20, 761/88, 643/175 quickly i.e. 107161737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/20, 761/88, 643/175 is 107161737.

LCM(219/20, 761/88, 643/175) = 107161737

LCM of 219/20, 761/88, 643/175

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 219/20,761/88,643/175

Given numbers are 219/20,761/88,643/175

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 219,761,643

Least Common Multiple of Numerators i.e. LCM of 219,761,643 is 107161737.

GCF of Denominators means GCF of 20,88,175 as per the given fractions.

GCF of 20,88,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,761,643

LCM of Fractions 219/20,761/88,643/175 is 107161737

Given numbers has no common factors except 1. So, there LCM is their product i.e 107161737

Least Common Multiple of 219,761,643 with GCF Formula

Least Common Multiple of 219,761,643 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 219,761,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,761,643) = 1

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

GCF(219,761,643) x common factors =1 x 1 = 1

LCM(219,761,643) = ( 219 × 761 × 643 ) / 1

LCM(219,761,643) = 107161737 / 1

LCM(219,761,643) = 107161737


Lets's calculate GCF of 20,88,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107161737/1

Therefore the LCM of Fractions 219/20,761/88,643/175 is 107161737

Greatest Common Factor of 20,88,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,88,175 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 20,88,175 . The biggest common factor number is the GCF number.
So the greatest common factor 20,88,175 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 219/20, 761/88, 643/175

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 219/20, 761/88, 643/175?

Answer: LCM of Numerators as per given numbers 219/20, 761/88, 643/175 is

LCM of Numerators i.e. for 219,761,643 is 107161737

GCF of denominators i.e. for 20,88,175 is 1.

Thus, LCM of Fractions is 107161737.Finally, LCM of Fractions for 219/20, 761/88, 643/175 is 107161737.