Least Common Multiple of 222/782, 494/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/782, 494/660 quickly i.e. 27417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/782, 494/660 is 27417.

LCM(222/782, 494/660) = 27417

LCM of 222/782, 494/660

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 222/782,494/660

Given numbers are 222/782,494/660

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 222,494

Least Common Multiple of Numerators i.e. LCM of 222,494 is 54834.

GCF of Denominators means GCF of 782,660 as per the given fractions.

GCF of 782,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,494

LCM of Fractions 222/782,494/660 is 27417

2 222, 494
111, 247

∴ So the LCM of the given numbers is 2 x 111 x 247 = 54834

Least Common Multiple of 222,494 with GCF Formula

Least Common Multiple of 222,494 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 222,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,494) = 2

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

GCF(222,494) x common factors =2 x 1 = 2

LCM(222,494) = ( 222 × 494 ) / 2

LCM(222,494) = 109668 / 2

LCM(222,494) = 54834


Lets's calculate GCF of 782,660

2 782, 660
391, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54834/2

Therefore the LCM of Fractions 222/782,494/660 is 27417

Greatest Common Factor of 782,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,660 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 782,660 . The biggest common factor number is the GCF number.
So the greatest common factor 782,660 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 222/782, 494/660

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 222/782, 494/660?

Answer: LCM of Numerators as per given numbers 222/782, 494/660 is

LCM of Numerators i.e. for 222,494 is 54834

GCF of denominators i.e. for 782,660 is 2.

Thus, LCM of Fractions is 27417.Finally, LCM of Fractions for 222/782, 494/660 is 27417.