Least Common Multiple of 2/43, 6/14, 7/84, 30/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/43, 6/14, 7/84, 30/313 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/43, 6/14, 7/84, 30/313 is 210.

LCM(2/43, 6/14, 7/84, 30/313) = 210

LCM of 2/43, 6/14, 7/84, 30/313

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 2/43,6/14,7/84,30/313

Given numbers are 2/43,6/14,7/84,30/313

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 2,6,7,30

Least Common Multiple of Numerators i.e. LCM of 2,6,7,30 is 210.

GCF of Denominators means GCF of 43,14,84,313 as per the given fractions.

GCF of 43,14,84,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,6,7,30

LCM of Fractions 2/43,6/14,7/84,30/313 is 210

2 2, 6, 7, 30
3 1, 3, 7, 15
1, 1, 7, 5

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 7 x 5 = 210

Least Common Multiple of 2,6,7,30 with GCF Formula

Least Common Multiple of 2,6,7,30 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 2,6,7,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,6,7,30) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(2,6,7,30) x common factors =1 x 12 = 12

LCM(2,6,7,30) = ( 2 × 6 × 7 × 30 ) / 12

LCM(2,6,7,30) = 2520 / 12

LCM(2,6,7,30) = 210


Lets's calculate GCF of 43,14,84,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210/1

Therefore the LCM of Fractions 2/43,6/14,7/84,30/313 is 210

Greatest Common Factor of 43,14,84,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,14,84,313 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 14

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

1,2,7,14

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

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 43,14,84,313 . The biggest common factor number is the GCF number.
So the greatest common factor 43,14,84,313 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 2/43, 6/14, 7/84, 30/313

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 2/43, 6/14, 7/84, 30/313?

Answer: LCM of Numerators as per given numbers 2/43, 6/14, 7/84, 30/313 is

LCM of Numerators i.e. for 2,6,7,30 is 210

GCF of denominators i.e. for 43,14,84,313 is 1.

Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 2/43, 6/14, 7/84, 30/313 is 210.