Least Common Multiple of 18/40, 37/84, 48/58, 51/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/40, 37/84, 48/58, 51/414 quickly i.e. 45288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/40, 37/84, 48/58, 51/414 is 45288.

LCM(18/40, 37/84, 48/58, 51/414) = 45288

LCM of 18/40, 37/84, 48/58, 51/414

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 18/40,37/84,48/58,51/414

Given numbers are 18/40,37/84,48/58,51/414

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 18,37,48,51

Least Common Multiple of Numerators i.e. LCM of 18,37,48,51 is 90576.

GCF of Denominators means GCF of 40,84,58,414 as per the given fractions.

GCF of 40,84,58,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,37,48,51

LCM of Fractions 18/40,37/84,48/58,51/414 is 45288

2 18, 37, 48, 51
3 9, 37, 24, 51
3, 37, 8, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 8 x 17 = 90576

Least Common Multiple of 18,37,48,51 with GCF Formula

Least Common Multiple of 18,37,48,51 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 18,37,48,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,37,48,51) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,37,48,51) x common factors =1 x 18 = 18

LCM(18,37,48,51) = ( 18 × 37 × 48 × 51 ) / 18

LCM(18,37,48,51) = 1630368 / 18

LCM(18,37,48,51) = 90576


Lets's calculate GCF of 40,84,58,414

2 40, 84, 58, 414
20, 42, 29, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90576/2

Therefore the LCM of Fractions 18/40,37/84,48/58,51/414 is 45288

Greatest Common Factor of 40,84,58,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,84,58,414 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 40,84,58,414 . The biggest common factor number is the GCF number.
So the greatest common factor 40,84,58,414 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 18/40, 37/84, 48/58, 51/414

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 18/40, 37/84, 48/58, 51/414?

Answer: LCM of Numerators as per given numbers 18/40, 37/84, 48/58, 51/414 is

LCM of Numerators i.e. for 18,37,48,51 is 90576

GCF of denominators i.e. for 40,84,58,414 is 2.

Thus, LCM of Fractions is 45288.Finally, LCM of Fractions for 18/40, 37/84, 48/58, 51/414 is 45288.