Least Common Multiple of 35/72, 142/49, 426/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/72, 142/49, 426/963 quickly i.e. 14910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/72, 142/49, 426/963 is 14910.

LCM(35/72, 142/49, 426/963) = 14910

LCM of 35/72, 142/49, 426/963

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 35/72,142/49,426/963

Given numbers are 35/72,142/49,426/963

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 35,142,426

Least Common Multiple of Numerators i.e. LCM of 35,142,426 is 14910.

GCF of Denominators means GCF of 72,49,963 as per the given fractions.

GCF of 72,49,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,142,426

LCM of Fractions 35/72,142/49,426/963 is 14910

2 35, 142, 426
71 35, 71, 213
35, 1, 3

∴ So the LCM of the given numbers is 2 x 71 x 35 x 1 x 3 = 14910

Least Common Multiple of 35,142,426 with GCF Formula

Least Common Multiple of 35,142,426 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 35,142,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,142,426) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(35,142,426) x common factors =1 x 142 = 142

LCM(35,142,426) = ( 35 × 142 × 426 ) / 142

LCM(35,142,426) = 2117220 / 142

LCM(35,142,426) = 14910


Lets's calculate GCF of 72,49,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14910/1

Therefore the LCM of Fractions 35/72,142/49,426/963 is 14910

Greatest Common Factor of 72,49,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,49,963 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 72,49,963 . The biggest common factor number is the GCF number.
So the greatest common factor 72,49,963 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 35/72, 142/49, 426/963

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 35/72, 142/49, 426/963?

Answer: LCM of Numerators as per given numbers 35/72, 142/49, 426/963 is

LCM of Numerators i.e. for 35,142,426 is 14910

GCF of denominators i.e. for 72,49,963 is 1.

Thus, LCM of Fractions is 14910.Finally, LCM of Fractions for 35/72, 142/49, 426/963 is 14910.