Least Common Multiple of 76/499, 203/863, 552/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/499, 203/863, 552/917 quickly i.e. 2129064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/499, 203/863, 552/917 is 2129064.

LCM(76/499, 203/863, 552/917) = 2129064

LCM of 76/499, 203/863, 552/917

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 76/499,203/863,552/917

Given numbers are 76/499,203/863,552/917

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 76,203,552

Least Common Multiple of Numerators i.e. LCM of 76,203,552 is 2129064.

GCF of Denominators means GCF of 499,863,917 as per the given fractions.

GCF of 499,863,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,203,552

LCM of Fractions 76/499,203/863,552/917 is 2129064

2 76, 203, 552
2 38, 203, 276
19, 203, 138

∴ So the LCM of the given numbers is 2 x 2 x 19 x 203 x 138 = 2129064

Least Common Multiple of 76,203,552 with GCF Formula

Least Common Multiple of 76,203,552 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 76,203,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,203,552) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,203,552) x common factors =1 x 4 = 4

LCM(76,203,552) = ( 76 × 203 × 552 ) / 4

LCM(76,203,552) = 8516256 / 4

LCM(76,203,552) = 2129064


Lets's calculate GCF of 499,863,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2129064/1

Therefore the LCM of Fractions 76/499,203/863,552/917 is 2129064

Greatest Common Factor of 499,863,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,863,917 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 499,863,917 . The biggest common factor number is the GCF number.
So the greatest common factor 499,863,917 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 76/499, 203/863, 552/917

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 76/499, 203/863, 552/917?

Answer: LCM of Numerators as per given numbers 76/499, 203/863, 552/917 is

LCM of Numerators i.e. for 76,203,552 is 2129064

GCF of denominators i.e. for 499,863,917 is 1.

Thus, LCM of Fractions is 2129064.Finally, LCM of Fractions for 76/499, 203/863, 552/917 is 2129064.