Least Common Multiple of 667/883, 365/400, 498/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/883, 365/400, 498/764 quickly i.e. 121240590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/883, 365/400, 498/764 is 121240590.

LCM(667/883, 365/400, 498/764) = 121240590

LCM of 667/883, 365/400, 498/764

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 667/883,365/400,498/764

Given numbers are 667/883,365/400,498/764

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 667,365,498

Least Common Multiple of Numerators i.e. LCM of 667,365,498 is 121240590.

GCF of Denominators means GCF of 883,400,764 as per the given fractions.

GCF of 883,400,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,365,498

LCM of Fractions 667/883,365/400,498/764 is 121240590

Given numbers has no common factors except 1. So, there LCM is their product i.e 121240590

Least Common Multiple of 667,365,498 with GCF Formula

Least Common Multiple of 667,365,498 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 667,365,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,365,498) = 1

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

GCF(667,365,498) x common factors =1 x 1 = 1

LCM(667,365,498) = ( 667 × 365 × 498 ) / 1

LCM(667,365,498) = 121240590 / 1

LCM(667,365,498) = 121240590


Lets's calculate GCF of 883,400,764

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121240590/1

Therefore the LCM of Fractions 667/883,365/400,498/764 is 121240590

Greatest Common Factor of 883,400,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,400,764 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 883,400,764 . The biggest common factor number is the GCF number.
So the greatest common factor 883,400,764 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 667/883, 365/400, 498/764

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 667/883, 365/400, 498/764?

Answer: LCM of Numerators as per given numbers 667/883, 365/400, 498/764 is

LCM of Numerators i.e. for 667,365,498 is 121240590

GCF of denominators i.e. for 883,400,764 is 1.

Thus, LCM of Fractions is 121240590.Finally, LCM of Fractions for 667/883, 365/400, 498/764 is 121240590.