Least Common Multiple of 50/406, 255/744, 660/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/406, 255/744, 660/602 quickly i.e. 28050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/406, 255/744, 660/602 is 28050.

LCM(50/406, 255/744, 660/602) = 28050

LCM of 50/406, 255/744, 660/602

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 50/406,255/744,660/602

Given numbers are 50/406,255/744,660/602

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 50,255,660

Least Common Multiple of Numerators i.e. LCM of 50,255,660 is 56100.

GCF of Denominators means GCF of 406,744,602 as per the given fractions.

GCF of 406,744,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,255,660

LCM of Fractions 50/406,255/744,660/602 is 28050

2 50, 255, 660
3 25, 255, 330
5 25, 85, 110
5, 17, 22

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 17 x 22 = 56100

Least Common Multiple of 50,255,660 with GCF Formula

Least Common Multiple of 50,255,660 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 50,255,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,255,660) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(50,255,660) x common factors =5 x 30 = 150

LCM(50,255,660) = ( 50 × 255 × 660 ) / 150

LCM(50,255,660) = 8415000 / 150

LCM(50,255,660) = 56100


Lets's calculate GCF of 406,744,602

2 406, 744, 602
203, 372, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56100/2

Therefore the LCM of Fractions 50/406,255/744,660/602 is 28050

Greatest Common Factor of 406,744,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,744,602 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 406,744,602 . The biggest common factor number is the GCF number.
So the greatest common factor 406,744,602 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 50/406, 255/744, 660/602

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 50/406, 255/744, 660/602?

Answer: LCM of Numerators as per given numbers 50/406, 255/744, 660/602 is

LCM of Numerators i.e. for 50,255,660 is 56100

GCF of denominators i.e. for 406,744,602 is 2.

Thus, LCM of Fractions is 28050.Finally, LCM of Fractions for 50/406, 255/744, 660/602 is 28050.