Least Common Multiple of 171/20, 400/77, 346/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/20, 400/77, 346/562 quickly i.e. 11833200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/20, 400/77, 346/562 is 11833200.

LCM(171/20, 400/77, 346/562) = 11833200

LCM of 171/20, 400/77, 346/562

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 171/20,400/77,346/562

Given numbers are 171/20,400/77,346/562

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 171,400,346

Least Common Multiple of Numerators i.e. LCM of 171,400,346 is 11833200.

GCF of Denominators means GCF of 20,77,562 as per the given fractions.

GCF of 20,77,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,400,346

LCM of Fractions 171/20,400/77,346/562 is 11833200

2 171, 400, 346
171, 200, 173

∴ So the LCM of the given numbers is 2 x 171 x 200 x 173 = 11833200

Least Common Multiple of 171,400,346 with GCF Formula

Least Common Multiple of 171,400,346 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 171,400,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,400,346) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(171,400,346) x common factors =1 x 2 = 2

LCM(171,400,346) = ( 171 × 400 × 346 ) / 2

LCM(171,400,346) = 23666400 / 2

LCM(171,400,346) = 11833200


Lets's calculate GCF of 20,77,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11833200/1

Therefore the LCM of Fractions 171/20,400/77,346/562 is 11833200

Greatest Common Factor of 20,77,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,77,562 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 20,77,562 . The biggest common factor number is the GCF number.
So the greatest common factor 20,77,562 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 171/20, 400/77, 346/562

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 171/20, 400/77, 346/562?

Answer: LCM of Numerators as per given numbers 171/20, 400/77, 346/562 is

LCM of Numerators i.e. for 171,400,346 is 11833200

GCF of denominators i.e. for 20,77,562 is 1.

Thus, LCM of Fractions is 11833200.Finally, LCM of Fractions for 171/20, 400/77, 346/562 is 11833200.