Least Common Multiple of 35/84, 40/88, 68/18, 51/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/84, 40/88, 68/18, 51/30 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/84, 40/88, 68/18, 51/30 is 7140.

LCM(35/84, 40/88, 68/18, 51/30) = 7140

LCM of 35/84, 40/88, 68/18, 51/30

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 35/84,40/88,68/18,51/30

Given numbers are 35/84,40/88,68/18,51/30

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 35,40,68,51

Least Common Multiple of Numerators i.e. LCM of 35,40,68,51 is 14280.

GCF of Denominators means GCF of 84,88,18,30 as per the given fractions.

GCF of 84,88,18,30 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,40,68,51

LCM of Fractions 35/84,40/88,68/18,51/30 is 7140

2 35, 40, 68, 51
2 35, 20, 34, 51
5 35, 10, 17, 51
17 7, 2, 17, 51
7, 2, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 7 x 2 x 1 x 3 = 14280

Least Common Multiple of 35,40,68,51 with GCF Formula

Least Common Multiple of 35,40,68,51 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 35,40,68,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,40,68,51) = 1

common factors(in case of two or more numbers have common factors) = 340

GCF(35,40,68,51) x common factors =1 x 340 = 340

LCM(35,40,68,51) = ( 35 × 40 × 68 × 51 ) / 340

LCM(35,40,68,51) = 4855200 / 340

LCM(35,40,68,51) = 14280


Lets's calculate GCF of 84,88,18,30

2 84, 88, 18, 30
42, 44, 9, 15

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/2

Therefore the LCM of Fractions 35/84,40/88,68/18,51/30 is 7140

Greatest Common Factor of 84,88,18,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,88,18,30 By Matching Biggest Common Factor Method

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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 84,88,18,30 . The biggest common factor number is the GCF number.
So the greatest common factor 84,88,18,30 is 2.


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 35/84, 40/88, 68/18, 51/30

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 35/84, 40/88, 68/18, 51/30?

Answer: LCM of Numerators as per given numbers 35/84, 40/88, 68/18, 51/30 is

LCM of Numerators i.e. for 35,40,68,51 is 14280

GCF of denominators i.e. for 84,88,18,30 is 2.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 35/84, 40/88, 68/18, 51/30 is 7140.