Least Common Multiple of 714/61, 318/83, 680/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/61, 318/83, 680/84 quickly i.e. 756840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/61, 318/83, 680/84 is 756840.

LCM(714/61, 318/83, 680/84) = 756840

LCM of 714/61, 318/83, 680/84

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 714/61,318/83,680/84

Given numbers are 714/61,318/83,680/84

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 714,318,680

Least Common Multiple of Numerators i.e. LCM of 714,318,680 is 756840.

GCF of Denominators means GCF of 61,83,84 as per the given fractions.

GCF of 61,83,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,318,680

LCM of Fractions 714/61,318/83,680/84 is 756840

2 714, 318, 680
3 357, 159, 340
17 119, 53, 340
7, 53, 20

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 53 x 20 = 756840

Least Common Multiple of 714,318,680 with GCF Formula

Least Common Multiple of 714,318,680 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 714,318,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,318,680) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(714,318,680) x common factors =2 x 102 = 204

LCM(714,318,680) = ( 714 × 318 × 680 ) / 204

LCM(714,318,680) = 154395360 / 204

LCM(714,318,680) = 756840


Lets's calculate GCF of 61,83,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756840/1

Therefore the LCM of Fractions 714/61,318/83,680/84 is 756840

Greatest Common Factor of 61,83,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,83,84 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 61,83,84 . The biggest common factor number is the GCF number.
So the greatest common factor 61,83,84 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 714/61, 318/83, 680/84

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 714/61, 318/83, 680/84?

Answer: LCM of Numerators as per given numbers 714/61, 318/83, 680/84 is

LCM of Numerators i.e. for 714,318,680 is 756840

GCF of denominators i.e. for 61,83,84 is 1.

Thus, LCM of Fractions is 756840.Finally, LCM of Fractions for 714/61, 318/83, 680/84 is 756840.