Least Common Multiple of 822/340, 317/938, 951/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/340, 317/938, 951/396 quickly i.e. 130287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/340, 317/938, 951/396 is 130287.

LCM(822/340, 317/938, 951/396) = 130287

LCM of 822/340, 317/938, 951/396

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 822/340,317/938,951/396

Given numbers are 822/340,317/938,951/396

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 822,317,951

Least Common Multiple of Numerators i.e. LCM of 822,317,951 is 260574.

GCF of Denominators means GCF of 340,938,396 as per the given fractions.

GCF of 340,938,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,317,951

LCM of Fractions 822/340,317/938,951/396 is 130287

3 822, 317, 951
317 274, 317, 317
274, 1, 1

∴ So the LCM of the given numbers is 3 x 317 x 274 x 1 x 1 = 260574

Least Common Multiple of 822,317,951 with GCF Formula

Least Common Multiple of 822,317,951 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 822,317,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,317,951) = 1

common factors(in case of two or more numbers have common factors) = 951

GCF(822,317,951) x common factors =1 x 951 = 951

LCM(822,317,951) = ( 822 × 317 × 951 ) / 951

LCM(822,317,951) = 247805874 / 951

LCM(822,317,951) = 260574


Lets's calculate GCF of 340,938,396

2 340, 938, 396
170, 469, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260574/2

Therefore the LCM of Fractions 822/340,317/938,951/396 is 130287

Greatest Common Factor of 340,938,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,938,396 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 340,938,396 . The biggest common factor number is the GCF number.
So the greatest common factor 340,938,396 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 822/340, 317/938, 951/396

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 822/340, 317/938, 951/396?

Answer: LCM of Numerators as per given numbers 822/340, 317/938, 951/396 is

LCM of Numerators i.e. for 822,317,951 is 260574

GCF of denominators i.e. for 340,938,396 is 2.

Thus, LCM of Fractions is 130287.Finally, LCM of Fractions for 822/340, 317/938, 951/396 is 130287.