Least Common Multiple of 84/70, 18/99, 96/23, 51/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/70, 18/99, 96/23, 51/630 quickly i.e. 34272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/70, 18/99, 96/23, 51/630 is 34272.

LCM(84/70, 18/99, 96/23, 51/630) = 34272

LCM of 84/70, 18/99, 96/23, 51/630

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 84/70,18/99,96/23,51/630

Given numbers are 84/70,18/99,96/23,51/630

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 84,18,96,51

Least Common Multiple of Numerators i.e. LCM of 84,18,96,51 is 34272.

GCF of Denominators means GCF of 70,99,23,630 as per the given fractions.

GCF of 70,99,23,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,18,96,51

LCM of Fractions 84/70,18/99,96/23,51/630 is 34272

2 84, 18, 96, 51
2 42, 9, 48, 51
3 21, 9, 24, 51
7, 3, 8, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 8 x 17 = 34272

Least Common Multiple of 84,18,96,51 with GCF Formula

Least Common Multiple of 84,18,96,51 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 84,18,96,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,18,96,51) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(84,18,96,51) x common factors =3 x 72 = 216

LCM(84,18,96,51) = ( 84 × 18 × 96 × 51 ) / 216

LCM(84,18,96,51) = 7402752 / 216

LCM(84,18,96,51) = 34272


Lets's calculate GCF of 70,99,23,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34272/1

Therefore the LCM of Fractions 84/70,18/99,96/23,51/630 is 34272

Greatest Common Factor of 70,99,23,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,99,23,630 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 70,99,23,630 . The biggest common factor number is the GCF number.
So the greatest common factor 70,99,23,630 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 84/70, 18/99, 96/23, 51/630

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 84/70, 18/99, 96/23, 51/630?

Answer: LCM of Numerators as per given numbers 84/70, 18/99, 96/23, 51/630 is

LCM of Numerators i.e. for 84,18,96,51 is 34272

GCF of denominators i.e. for 70,99,23,630 is 1.

Thus, LCM of Fractions is 34272.Finally, LCM of Fractions for 84/70, 18/99, 96/23, 51/630 is 34272.