Least Common Multiple of 70/33, 10/14, 84/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/33, 10/14, 84/30 quickly i.e. 420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/33, 10/14, 84/30 is 420.

LCM(70/33, 10/14, 84/30) = 420

LCM of 70/33, 10/14, 84/30

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 70/33,10/14,84/30

Given numbers are 70/33,10/14,84/30

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 70,10,84

Least Common Multiple of Numerators i.e. LCM of 70,10,84 is 420.

GCF of Denominators means GCF of 33,14,30 as per the given fractions.

GCF of 33,14,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,10,84

LCM of Fractions 70/33,10/14,84/30 is 420

2 70, 10, 84
5 35, 5, 42
7 7, 1, 42
1, 1, 6

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 6 = 420

Least Common Multiple of 70,10,84 with GCF Formula

Least Common Multiple of 70,10,84 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 70,10,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,10,84) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(70,10,84) x common factors =2 x 70 = 140

LCM(70,10,84) = ( 70 × 10 × 84 ) / 140

LCM(70,10,84) = 58800 / 140

LCM(70,10,84) = 420


Lets's calculate GCF of 33,14,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/1

Therefore the LCM of Fractions 70/33,10/14,84/30 is 420

Greatest Common Factor of 33,14,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,14,30 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 14

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

1,2,7,14

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 33,14,30 . The biggest common factor number is the GCF number.
So the greatest common factor 33,14,30 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 70/33, 10/14, 84/30

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 70/33, 10/14, 84/30?

Answer: LCM of Numerators as per given numbers 70/33, 10/14, 84/30 is

LCM of Numerators i.e. for 70,10,84 is 420

GCF of denominators i.e. for 33,14,30 is 1.

Thus, LCM of Fractions is 420.Finally, LCM of Fractions for 70/33, 10/14, 84/30 is 420.