Least Common Multiple of 650/451, 7822/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 650/451, 7822/217 quickly i.e. 2542150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/451, 7822/217 is 2542150.

LCM(650/451, 7822/217) = 2542150

LCM of 650/451, 7822/217

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 650/451,7822/217

Given numbers are 650/451,7822/217

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 650,7822

Least Common Multiple of Numerators i.e. LCM of 650,7822 is 2542150.

GCF of Denominators means GCF of 451,217 as per the given fractions.

GCF of 451,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,7822

LCM of Fractions 650/451,7822/217 is 2542150

2 650, 7822
325, 3911

∴ So the LCM of the given numbers is 2 x 325 x 3911 = 2542150

Least Common Multiple of 650,7822 with GCF Formula

Least Common Multiple of 650,7822 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 650,7822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,7822) = 2

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

GCF(650,7822) x common factors =2 x 1 = 2

LCM(650,7822) = ( 650 × 7822 ) / 2

LCM(650,7822) = 5084300 / 2

LCM(650,7822) = 2542150


Lets's calculate GCF of 451,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2542150/1

Therefore the LCM of Fractions 650/451,7822/217 is 2542150

Greatest Common Factor of 451,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,217 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 451,217 . The biggest common factor number is the GCF number.
So the greatest common factor 451,217 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 650/451, 7822/217

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 650/451, 7822/217?

Answer: LCM of Numerators as per given numbers 650/451, 7822/217 is

LCM of Numerators i.e. for 650,7822 is 2542150

GCF of denominators i.e. for 451,217 is 1.

Thus, LCM of Fractions is 2542150.Finally, LCM of Fractions for 650/451, 7822/217 is 2542150.