Least Common Multiple of 340/21, 846/14, 468/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/21, 846/14, 468/83 quickly i.e. 1869660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/21, 846/14, 468/83 is 1869660.

LCM(340/21, 846/14, 468/83) = 1869660

LCM of 340/21, 846/14, 468/83

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 340/21,846/14,468/83

Given numbers are 340/21,846/14,468/83

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 340,846,468

Least Common Multiple of Numerators i.e. LCM of 340,846,468 is 1869660.

GCF of Denominators means GCF of 21,14,83 as per the given fractions.

GCF of 21,14,83 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,846,468

LCM of Fractions 340/21,846/14,468/83 is 1869660

2 340, 846, 468
2 170, 423, 234
3 85, 423, 117
3 85, 141, 39
85, 47, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 85 x 47 x 13 = 1869660

Least Common Multiple of 340,846,468 with GCF Formula

Least Common Multiple of 340,846,468 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 340,846,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,846,468) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(340,846,468) x common factors =2 x 36 = 72

LCM(340,846,468) = ( 340 × 846 × 468 ) / 72

LCM(340,846,468) = 134615520 / 72

LCM(340,846,468) = 1869660


Lets's calculate GCF of 21,14,83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1869660/1

Therefore the LCM of Fractions 340/21,846/14,468/83 is 1869660

Greatest Common Factor of 21,14,83 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,14,83 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 83

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

1,83

Greatest Common Factor

We found the factors 21,14,83 . The biggest common factor number is the GCF number.
So the greatest common factor 21,14,83 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 340/21, 846/14, 468/83

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 340/21, 846/14, 468/83?

Answer: LCM of Numerators as per given numbers 340/21, 846/14, 468/83 is

LCM of Numerators i.e. for 340,846,468 is 1869660

GCF of denominators i.e. for 21,14,83 is 1.

Thus, LCM of Fractions is 1869660.Finally, LCM of Fractions for 340/21, 846/14, 468/83 is 1869660.