Least Common Multiple of 70/823, 61/684, 491/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/823, 61/684, 491/393 quickly i.e. 2096570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/823, 61/684, 491/393 is 2096570.

LCM(70/823, 61/684, 491/393) = 2096570

LCM of 70/823, 61/684, 491/393

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 70/823,61/684,491/393

Given numbers are 70/823,61/684,491/393

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 70,61,491

Least Common Multiple of Numerators i.e. LCM of 70,61,491 is 2096570.

GCF of Denominators means GCF of 823,684,393 as per the given fractions.

GCF of 823,684,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,61,491

LCM of Fractions 70/823,61/684,491/393 is 2096570

Given numbers has no common factors except 1. So, there LCM is their product i.e 2096570

Least Common Multiple of 70,61,491 with GCF Formula

Least Common Multiple of 70,61,491 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 70,61,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,61,491) = 1

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

GCF(70,61,491) x common factors =1 x 1 = 1

LCM(70,61,491) = ( 70 × 61 × 491 ) / 1

LCM(70,61,491) = 2096570 / 1

LCM(70,61,491) = 2096570


Lets's calculate GCF of 823,684,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2096570/1

Therefore the LCM of Fractions 70/823,61/684,491/393 is 2096570

Greatest Common Factor of 823,684,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,684,393 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 823,684,393 . The biggest common factor number is the GCF number.
So the greatest common factor 823,684,393 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 70/823, 61/684, 491/393

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 70/823, 61/684, 491/393?

Answer: LCM of Numerators as per given numbers 70/823, 61/684, 491/393 is

LCM of Numerators i.e. for 70,61,491 is 2096570

GCF of denominators i.e. for 823,684,393 is 1.

Thus, LCM of Fractions is 2096570.Finally, LCM of Fractions for 70/823, 61/684, 491/393 is 2096570.