Least Common Multiple of 83/793, 220/564, 480/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/793, 220/564, 480/349 quickly i.e. 438240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/793, 220/564, 480/349 is 438240.

LCM(83/793, 220/564, 480/349) = 438240

LCM of 83/793, 220/564, 480/349

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 83/793,220/564,480/349

Given numbers are 83/793,220/564,480/349

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 83,220,480

Least Common Multiple of Numerators i.e. LCM of 83,220,480 is 438240.

GCF of Denominators means GCF of 793,564,349 as per the given fractions.

GCF of 793,564,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,220,480

LCM of Fractions 83/793,220/564,480/349 is 438240

2 83, 220, 480
2 83, 110, 240
5 83, 55, 120
83, 11, 24

∴ So the LCM of the given numbers is 2 x 2 x 5 x 83 x 11 x 24 = 438240

Least Common Multiple of 83,220,480 with GCF Formula

Least Common Multiple of 83,220,480 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 83,220,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,220,480) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(83,220,480) x common factors =1 x 20 = 20

LCM(83,220,480) = ( 83 × 220 × 480 ) / 20

LCM(83,220,480) = 8764800 / 20

LCM(83,220,480) = 438240


Lets's calculate GCF of 793,564,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438240/1

Therefore the LCM of Fractions 83/793,220/564,480/349 is 438240

Greatest Common Factor of 793,564,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,564,349 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 793,564,349 . The biggest common factor number is the GCF number.
So the greatest common factor 793,564,349 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 83/793, 220/564, 480/349

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 83/793, 220/564, 480/349?

Answer: LCM of Numerators as per given numbers 83/793, 220/564, 480/349 is

LCM of Numerators i.e. for 83,220,480 is 438240

GCF of denominators i.e. for 793,564,349 is 1.

Thus, LCM of Fractions is 438240.Finally, LCM of Fractions for 83/793, 220/564, 480/349 is 438240.