Least Common Multiple of 10/962, 291/489, 873/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/962, 291/489, 873/837 quickly i.e. 8730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/962, 291/489, 873/837 is 8730.

LCM(10/962, 291/489, 873/837) = 8730

LCM of 10/962, 291/489, 873/837

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 10/962,291/489,873/837

Given numbers are 10/962,291/489,873/837

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 10,291,873

Least Common Multiple of Numerators i.e. LCM of 10,291,873 is 8730.

GCF of Denominators means GCF of 962,489,837 as per the given fractions.

GCF of 962,489,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,291,873

LCM of Fractions 10/962,291/489,873/837 is 8730

3 10, 291, 873
97 10, 97, 291
10, 1, 3

∴ So the LCM of the given numbers is 3 x 97 x 10 x 1 x 3 = 8730

Least Common Multiple of 10,291,873 with GCF Formula

Least Common Multiple of 10,291,873 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 10,291,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,291,873) = 1

common factors(in case of two or more numbers have common factors) = 291

GCF(10,291,873) x common factors =1 x 291 = 291

LCM(10,291,873) = ( 10 × 291 × 873 ) / 291

LCM(10,291,873) = 2540430 / 291

LCM(10,291,873) = 8730


Lets's calculate GCF of 962,489,837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8730/1

Therefore the LCM of Fractions 10/962,291/489,873/837 is 8730

Greatest Common Factor of 962,489,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,489,837 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 962,489,837 . The biggest common factor number is the GCF number.
So the greatest common factor 962,489,837 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 10/962, 291/489, 873/837

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 10/962, 291/489, 873/837?

Answer: LCM of Numerators as per given numbers 10/962, 291/489, 873/837 is

LCM of Numerators i.e. for 10,291,873 is 8730

GCF of denominators i.e. for 962,489,837 is 1.

Thus, LCM of Fractions is 8730.Finally, LCM of Fractions for 10/962, 291/489, 873/837 is 8730.