Least Common Multiple of 862/74, 522/2966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/74, 522/2966 quickly i.e. 112491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/74, 522/2966 is 112491.

LCM(862/74, 522/2966) = 112491

LCM of 862/74, 522/2966

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 862/74,522/2966

Given numbers are 862/74,522/2966

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 862,522

Least Common Multiple of Numerators i.e. LCM of 862,522 is 224982.

GCF of Denominators means GCF of 74,2966 as per the given fractions.

GCF of 74,2966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,522

LCM of Fractions 862/74,522/2966 is 112491

2 862, 522
431, 261

∴ So the LCM of the given numbers is 2 x 431 x 261 = 224982

Least Common Multiple of 862,522 with GCF Formula

Least Common Multiple of 862,522 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 862,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,522) = 2

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

GCF(862,522) x common factors =2 x 1 = 2

LCM(862,522) = ( 862 × 522 ) / 2

LCM(862,522) = 449964 / 2

LCM(862,522) = 224982


Lets's calculate GCF of 74,2966

2 74, 2966
37, 1483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224982/2

Therefore the LCM of Fractions 862/74,522/2966 is 112491

Greatest Common Factor of 74,2966 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,2966 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 2966

List of positive integer factors of 2966 that divides 2966 without a remainder.

1,2,1483,2966

Greatest Common Factor

We found the factors 74,2966 . The biggest common factor number is the GCF number.
So the greatest common factor 74,2966 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 862/74, 522/2966

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 862/74, 522/2966?

Answer: LCM of Numerators as per given numbers 862/74, 522/2966 is

LCM of Numerators i.e. for 862,522 is 224982

GCF of denominators i.e. for 74,2966 is 2.

Thus, LCM of Fractions is 112491.Finally, LCM of Fractions for 862/74, 522/2966 is 112491.