Least Common Multiple of 42/953, 28/817, 299/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/953, 28/817, 299/161 quickly i.e. 25116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/953, 28/817, 299/161 is 25116.

LCM(42/953, 28/817, 299/161) = 25116

LCM of 42/953, 28/817, 299/161

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 42/953,28/817,299/161

Given numbers are 42/953,28/817,299/161

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 42,28,299

Least Common Multiple of Numerators i.e. LCM of 42,28,299 is 25116.

GCF of Denominators means GCF of 953,817,161 as per the given fractions.

GCF of 953,817,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,28,299

LCM of Fractions 42/953,28/817,299/161 is 25116

2 42, 28, 299
7 21, 14, 299
3, 2, 299

∴ So the LCM of the given numbers is 2 x 7 x 3 x 2 x 299 = 25116

Least Common Multiple of 42,28,299 with GCF Formula

Least Common Multiple of 42,28,299 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 42,28,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,28,299) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,28,299) x common factors =1 x 14 = 14

LCM(42,28,299) = ( 42 × 28 × 299 ) / 14

LCM(42,28,299) = 351624 / 14

LCM(42,28,299) = 25116


Lets's calculate GCF of 953,817,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25116/1

Therefore the LCM of Fractions 42/953,28/817,299/161 is 25116

Greatest Common Factor of 953,817,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,817,161 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 953,817,161 . The biggest common factor number is the GCF number.
So the greatest common factor 953,817,161 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 42/953, 28/817, 299/161

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 42/953, 28/817, 299/161?

Answer: LCM of Numerators as per given numbers 42/953, 28/817, 299/161 is

LCM of Numerators i.e. for 42,28,299 is 25116

GCF of denominators i.e. for 953,817,161 is 1.

Thus, LCM of Fractions is 25116.Finally, LCM of Fractions for 42/953, 28/817, 299/161 is 25116.