Least Common Multiple of 60/651, 400/285, 620/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/651, 400/285, 620/598 quickly i.e. 37200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/651, 400/285, 620/598 is 37200.

LCM(60/651, 400/285, 620/598) = 37200

LCM of 60/651, 400/285, 620/598

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 60/651,400/285,620/598

Given numbers are 60/651,400/285,620/598

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 60,400,620

Least Common Multiple of Numerators i.e. LCM of 60,400,620 is 37200.

GCF of Denominators means GCF of 651,285,598 as per the given fractions.

GCF of 651,285,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,400,620

LCM of Fractions 60/651,400/285,620/598 is 37200

2 60, 400, 620
2 30, 200, 310
5 15, 100, 155
3, 20, 31

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 20 x 31 = 37200

Least Common Multiple of 60,400,620 with GCF Formula

Least Common Multiple of 60,400,620 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 60,400,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,400,620) = 20

common factors(in case of two or more numbers have common factors) = 20

GCF(60,400,620) x common factors =20 x 20 = 400

LCM(60,400,620) = ( 60 × 400 × 620 ) / 400

LCM(60,400,620) = 14880000 / 400

LCM(60,400,620) = 37200


Lets's calculate GCF of 651,285,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37200/1

Therefore the LCM of Fractions 60/651,400/285,620/598 is 37200

Greatest Common Factor of 651,285,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,285,598 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 651,285,598 . The biggest common factor number is the GCF number.
So the greatest common factor 651,285,598 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 60/651, 400/285, 620/598

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 60/651, 400/285, 620/598?

Answer: LCM of Numerators as per given numbers 60/651, 400/285, 620/598 is

LCM of Numerators i.e. for 60,400,620 is 37200

GCF of denominators i.e. for 651,285,598 is 1.

Thus, LCM of Fractions is 37200.Finally, LCM of Fractions for 60/651, 400/285, 620/598 is 37200.