Least Common Multiple of 76/500, 77/222, 264/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/500, 77/222, 264/986 quickly i.e. 17556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/500, 77/222, 264/986 is 17556.

LCM(76/500, 77/222, 264/986) = 17556

LCM of 76/500, 77/222, 264/986

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 76/500,77/222,264/986

Given numbers are 76/500,77/222,264/986

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 76,77,264

Least Common Multiple of Numerators i.e. LCM of 76,77,264 is 35112.

GCF of Denominators means GCF of 500,222,986 as per the given fractions.

GCF of 500,222,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,77,264

LCM of Fractions 76/500,77/222,264/986 is 17556

2 76, 77, 264
2 38, 77, 132
11 19, 77, 66
19, 7, 6

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 7 x 6 = 35112

Least Common Multiple of 76,77,264 with GCF Formula

Least Common Multiple of 76,77,264 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 76,77,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,77,264) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(76,77,264) x common factors =1 x 44 = 44

LCM(76,77,264) = ( 76 × 77 × 264 ) / 44

LCM(76,77,264) = 1544928 / 44

LCM(76,77,264) = 35112


Lets's calculate GCF of 500,222,986

2 500, 222, 986
250, 111, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35112/2

Therefore the LCM of Fractions 76/500,77/222,264/986 is 17556

Greatest Common Factor of 500,222,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,222,986 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 500,222,986 . The biggest common factor number is the GCF number.
So the greatest common factor 500,222,986 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 76/500, 77/222, 264/986

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 76/500, 77/222, 264/986?

Answer: LCM of Numerators as per given numbers 76/500, 77/222, 264/986 is

LCM of Numerators i.e. for 76,77,264 is 35112

GCF of denominators i.e. for 500,222,986 is 2.

Thus, LCM of Fractions is 17556.Finally, LCM of Fractions for 76/500, 77/222, 264/986 is 17556.