Least Common Multiple of 920/82, 808/22, 239/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/82, 808/22, 239/698 quickly i.e. 11103940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/82, 808/22, 239/698 is 11103940.

LCM(920/82, 808/22, 239/698) = 11103940

LCM of 920/82, 808/22, 239/698

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 920/82,808/22,239/698

Given numbers are 920/82,808/22,239/698

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 920,808,239

Least Common Multiple of Numerators i.e. LCM of 920,808,239 is 22207880.

GCF of Denominators means GCF of 82,22,698 as per the given fractions.

GCF of 82,22,698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,808,239

LCM of Fractions 920/82,808/22,239/698 is 11103940

2 920, 808, 239
2 460, 404, 239
2 230, 202, 239
115, 101, 239

∴ So the LCM of the given numbers is 2 x 2 x 2 x 115 x 101 x 239 = 22207880

Least Common Multiple of 920,808,239 with GCF Formula

Least Common Multiple of 920,808,239 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 920,808,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,808,239) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(920,808,239) x common factors =1 x 8 = 8

LCM(920,808,239) = ( 920 × 808 × 239 ) / 8

LCM(920,808,239) = 177663040 / 8

LCM(920,808,239) = 22207880


Lets's calculate GCF of 82,22,698

2 82, 22, 698
41, 11, 349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22207880/2

Therefore the LCM of Fractions 920/82,808/22,239/698 is 11103940

Greatest Common Factor of 82,22,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,22,698 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 82,22,698 . The biggest common factor number is the GCF number.
So the greatest common factor 82,22,698 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 920/82, 808/22, 239/698

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 920/82, 808/22, 239/698?

Answer: LCM of Numerators as per given numbers 920/82, 808/22, 239/698 is

LCM of Numerators i.e. for 920,808,239 is 22207880

GCF of denominators i.e. for 82,22,698 is 2.

Thus, LCM of Fractions is 11103940.Finally, LCM of Fractions for 920/82, 808/22, 239/698 is 11103940.