Least Common Multiple of 17/362, 21/564, 951/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/362, 21/564, 951/922 quickly i.e. 113169/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/362, 21/564, 951/922 is 113169/2.

LCM(17/362, 21/564, 951/922) = 113169/2

LCM of 17/362, 21/564, 951/922

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 17/362,21/564,951/922

Given numbers are 17/362,21/564,951/922

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 17,21,951

Least Common Multiple of Numerators i.e. LCM of 17,21,951 is 113169.

GCF of Denominators means GCF of 362,564,922 as per the given fractions.

GCF of 362,564,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,21,951

LCM of Fractions 17/362,21/564,951/922 is 113169/2

3 17, 21, 951
17, 7, 317

∴ So the LCM of the given numbers is 3 x 17 x 7 x 317 = 113169

Least Common Multiple of 17,21,951 with GCF Formula

Least Common Multiple of 17,21,951 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 17,21,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,21,951) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,21,951) x common factors =1 x 3 = 3

LCM(17,21,951) = ( 17 × 21 × 951 ) / 3

LCM(17,21,951) = 339507 / 3

LCM(17,21,951) = 113169


Lets's calculate GCF of 362,564,922

2 362, 564, 922
181, 282, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113169/2

Therefore the LCM of Fractions 17/362,21/564,951/922 is 113169/2

Greatest Common Factor of 362,564,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,564,922 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 362,564,922 . The biggest common factor number is the GCF number.
So the greatest common factor 362,564,922 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 17/362, 21/564, 951/922

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 17/362, 21/564, 951/922?

Answer: LCM of Numerators as per given numbers 17/362, 21/564, 951/922 is

LCM of Numerators i.e. for 17,21,951 is 113169

GCF of denominators i.e. for 362,564,922 is 2.

Thus, LCM of Fractions is 113169/2.Finally, LCM of Fractions for 17/362, 21/564, 951/922 is 113169/2.