Least Common Multiple of 62/835, 62/195, 400/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/835, 62/195, 400/578 quickly i.e. 12400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/835, 62/195, 400/578 is 12400.

LCM(62/835, 62/195, 400/578) = 12400

LCM of 62/835, 62/195, 400/578

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 62/835,62/195,400/578

Given numbers are 62/835,62/195,400/578

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 62,62,400

Least Common Multiple of Numerators i.e. LCM of 62,62,400 is 12400.

GCF of Denominators means GCF of 835,195,578 as per the given fractions.

GCF of 835,195,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,62,400

LCM of Fractions 62/835,62/195,400/578 is 12400

2 62, 62, 400
31 31, 31, 200
1, 1, 200

∴ So the LCM of the given numbers is 2 x 31 x 1 x 1 x 200 = 12400

Least Common Multiple of 62,62,400 with GCF Formula

Least Common Multiple of 62,62,400 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 62,62,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,62,400) = 2

common factors(in case of two or more numbers have common factors) = 62

GCF(62,62,400) x common factors =2 x 62 = 124

LCM(62,62,400) = ( 62 × 62 × 400 ) / 124

LCM(62,62,400) = 1537600 / 124

LCM(62,62,400) = 12400


Lets's calculate GCF of 835,195,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12400/1

Therefore the LCM of Fractions 62/835,62/195,400/578 is 12400

Greatest Common Factor of 835,195,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,195,578 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 835,195,578 . The biggest common factor number is the GCF number.
So the greatest common factor 835,195,578 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/835, 62/195, 400/578

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 62/835, 62/195, 400/578?

Answer: LCM of Numerators as per given numbers 62/835, 62/195, 400/578 is

LCM of Numerators i.e. for 62,62,400 is 12400

GCF of denominators i.e. for 835,195,578 is 1.

Thus, LCM of Fractions is 12400.Finally, LCM of Fractions for 62/835, 62/195, 400/578 is 12400.