Least Common Multiple of 96/822, 70/545, 359/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/822, 70/545, 359/574 quickly i.e. 1206240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/822, 70/545, 359/574 is 1206240.

LCM(96/822, 70/545, 359/574) = 1206240

LCM of 96/822, 70/545, 359/574

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 96/822,70/545,359/574

Given numbers are 96/822,70/545,359/574

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 96,70,359

Least Common Multiple of Numerators i.e. LCM of 96,70,359 is 1206240.

GCF of Denominators means GCF of 822,545,574 as per the given fractions.

GCF of 822,545,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,70,359

LCM of Fractions 96/822,70/545,359/574 is 1206240

2 96, 70, 359
48, 35, 359

∴ So the LCM of the given numbers is 2 x 48 x 35 x 359 = 1206240

Least Common Multiple of 96,70,359 with GCF Formula

Least Common Multiple of 96,70,359 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 96,70,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,70,359) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,70,359) x common factors =1 x 2 = 2

LCM(96,70,359) = ( 96 × 70 × 359 ) / 2

LCM(96,70,359) = 2412480 / 2

LCM(96,70,359) = 1206240


Lets's calculate GCF of 822,545,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206240/1

Therefore the LCM of Fractions 96/822,70/545,359/574 is 1206240

Greatest Common Factor of 822,545,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,545,574 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 822,545,574 . The biggest common factor number is the GCF number.
So the greatest common factor 822,545,574 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 96/822, 70/545, 359/574

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 96/822, 70/545, 359/574?

Answer: LCM of Numerators as per given numbers 96/822, 70/545, 359/574 is

LCM of Numerators i.e. for 96,70,359 is 1206240

GCF of denominators i.e. for 822,545,574 is 1.

Thus, LCM of Fractions is 1206240.Finally, LCM of Fractions for 96/822, 70/545, 359/574 is 1206240.