Least Common Multiple of 18/51, 69/35, 154/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/51, 69/35, 154/596 quickly i.e. 31878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/51, 69/35, 154/596 is 31878.

LCM(18/51, 69/35, 154/596) = 31878

LCM of 18/51, 69/35, 154/596

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 18/51,69/35,154/596

Given numbers are 18/51,69/35,154/596

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 18,69,154

Least Common Multiple of Numerators i.e. LCM of 18,69,154 is 31878.

GCF of Denominators means GCF of 51,35,596 as per the given fractions.

GCF of 51,35,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,69,154

LCM of Fractions 18/51,69/35,154/596 is 31878

2 18, 69, 154
3 9, 69, 77
3, 23, 77

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 77 = 31878

Least Common Multiple of 18,69,154 with GCF Formula

Least Common Multiple of 18,69,154 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 18,69,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,69,154) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,69,154) x common factors =1 x 6 = 6

LCM(18,69,154) = ( 18 × 69 × 154 ) / 6

LCM(18,69,154) = 191268 / 6

LCM(18,69,154) = 31878


Lets's calculate GCF of 51,35,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31878/1

Therefore the LCM of Fractions 18/51,69/35,154/596 is 31878

Greatest Common Factor of 51,35,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,35,596 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 51,35,596 . The biggest common factor number is the GCF number.
So the greatest common factor 51,35,596 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 18/51, 69/35, 154/596

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 18/51, 69/35, 154/596?

Answer: LCM of Numerators as per given numbers 18/51, 69/35, 154/596 is

LCM of Numerators i.e. for 18,69,154 is 31878

GCF of denominators i.e. for 51,35,596 is 1.

Thus, LCM of Fractions is 31878.Finally, LCM of Fractions for 18/51, 69/35, 154/596 is 31878.