Least Common Multiple of 962/15, 257/37, 461/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 962/15, 257/37, 461/596 quickly i.e. 113974874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 962/15, 257/37, 461/596 is 113974874.

LCM(962/15, 257/37, 461/596) = 113974874

LCM of 962/15, 257/37, 461/596

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 962/15,257/37,461/596

Given numbers are 962/15,257/37,461/596

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 962,257,461

Least Common Multiple of Numerators i.e. LCM of 962,257,461 is 113974874.

GCF of Denominators means GCF of 15,37,596 as per the given fractions.

GCF of 15,37,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 962,257,461

LCM of Fractions 962/15,257/37,461/596 is 113974874

Given numbers has no common factors except 1. So, there LCM is their product i.e 113974874

Least Common Multiple of 962,257,461 with GCF Formula

Least Common Multiple of 962,257,461 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 962,257,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,257,461) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(962,257,461) x common factors =1 x 1 = 1

LCM(962,257,461) = ( 962 × 257 × 461 ) / 1

LCM(962,257,461) = 113974874 / 1

LCM(962,257,461) = 113974874


Lets's calculate GCF of 15,37,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113974874/1

Therefore the LCM of Fractions 962/15,257/37,461/596 is 113974874

Greatest Common Factor of 15,37,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,37,596 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 15,37,596 . The biggest common factor number is the GCF number.
So the greatest common factor 15,37,596 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 962/15, 257/37, 461/596

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 962/15, 257/37, 461/596?

Answer: LCM of Numerators as per given numbers 962/15, 257/37, 461/596 is

LCM of Numerators i.e. for 962,257,461 is 113974874

GCF of denominators i.e. for 15,37,596 is 1.

Thus, LCM of Fractions is 113974874.Finally, LCM of Fractions for 962/15, 257/37, 461/596 is 113974874.