Least Common Multiple of 650/676, 6819/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 650/676, 6819/296 quickly i.e. 4432350/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/676, 6819/296 is 4432350/4.

LCM(650/676, 6819/296) = 4432350/4

LCM of 650/676, 6819/296

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 650/676,6819/296

Given numbers are 650/676,6819/296

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 650,6819

Least Common Multiple of Numerators i.e. LCM of 650,6819 is 4432350.

GCF of Denominators means GCF of 676,296 as per the given fractions.

GCF of 676,296 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,6819

LCM of Fractions 650/676,6819/296 is 4432350/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4432350

Least Common Multiple of 650,6819 with GCF Formula

Least Common Multiple of 650,6819 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 650,6819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,6819) = 1

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

GCF(650,6819) x common factors =1 x 1 = 1

LCM(650,6819) = ( 650 × 6819 ) / 1

LCM(650,6819) = 4432350 / 1

LCM(650,6819) = 4432350


Lets's calculate GCF of 676,296

2 676, 296
2 338, 148
169, 74

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4432350/4

Therefore the LCM of Fractions 650/676,6819/296 is 4432350/4

Greatest Common Factor of 676,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,296 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 676,296 . The biggest common factor number is the GCF number.
So the greatest common factor 676,296 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 650/676, 6819/296

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 650/676, 6819/296?

Answer: LCM of Numerators as per given numbers 650/676, 6819/296 is

LCM of Numerators i.e. for 650,6819 is 4432350

GCF of denominators i.e. for 676,296 is 4.

Thus, LCM of Fractions is 4432350/4.Finally, LCM of Fractions for 650/676, 6819/296 is 4432350/4.