Least Common Multiple of 102/930, 836/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/930, 836/742 quickly i.e. 21318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/930, 836/742 is 21318.

LCM(102/930, 836/742) = 21318

LCM of 102/930, 836/742

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 102/930,836/742

Given numbers are 102/930,836/742

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 102,836

Least Common Multiple of Numerators i.e. LCM of 102,836 is 42636.

GCF of Denominators means GCF of 930,742 as per the given fractions.

GCF of 930,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,836

LCM of Fractions 102/930,836/742 is 21318

2 102, 836
51, 418

∴ So the LCM of the given numbers is 2 x 51 x 418 = 42636

Least Common Multiple of 102,836 with GCF Formula

Least Common Multiple of 102,836 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 102,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,836) = 2

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

GCF(102,836) x common factors =2 x 1 = 2

LCM(102,836) = ( 102 × 836 ) / 2

LCM(102,836) = 85272 / 2

LCM(102,836) = 42636


Lets's calculate GCF of 930,742

2 930, 742
465, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42636/2

Therefore the LCM of Fractions 102/930,836/742 is 21318

Greatest Common Factor of 930,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,742 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 930,742 . The biggest common factor number is the GCF number.
So the greatest common factor 930,742 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 102/930, 836/742

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 102/930, 836/742?

Answer: LCM of Numerators as per given numbers 102/930, 836/742 is

LCM of Numerators i.e. for 102,836 is 42636

GCF of denominators i.e. for 930,742 is 2.

Thus, LCM of Fractions is 21318.Finally, LCM of Fractions for 102/930, 836/742 is 21318.