Least Common Multiple of 18/25, 518/40, 709/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/25, 518/40, 709/237 quickly i.e. 3305358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/25, 518/40, 709/237 is 3305358.

LCM(18/25, 518/40, 709/237) = 3305358

LCM of 18/25, 518/40, 709/237

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 18/25,518/40,709/237

Given numbers are 18/25,518/40,709/237

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 18,518,709

Least Common Multiple of Numerators i.e. LCM of 18,518,709 is 3305358.

GCF of Denominators means GCF of 25,40,237 as per the given fractions.

GCF of 25,40,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,518,709

LCM of Fractions 18/25,518/40,709/237 is 3305358

2 18, 518, 709
9, 259, 709

∴ So the LCM of the given numbers is 2 x 9 x 259 x 709 = 3305358

Least Common Multiple of 18,518,709 with GCF Formula

Least Common Multiple of 18,518,709 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 18,518,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,518,709) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,518,709) x common factors =1 x 2 = 2

LCM(18,518,709) = ( 18 × 518 × 709 ) / 2

LCM(18,518,709) = 6610716 / 2

LCM(18,518,709) = 3305358


Lets's calculate GCF of 25,40,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3305358/1

Therefore the LCM of Fractions 18/25,518/40,709/237 is 3305358

Greatest Common Factor of 25,40,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,40,237 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 25,40,237 . The biggest common factor number is the GCF number.
So the greatest common factor 25,40,237 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/25, 518/40, 709/237

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 18/25, 518/40, 709/237?

Answer: LCM of Numerators as per given numbers 18/25, 518/40, 709/237 is

LCM of Numerators i.e. for 18,518,709 is 3305358

GCF of denominators i.e. for 25,40,237 is 1.

Thus, LCM of Fractions is 3305358.Finally, LCM of Fractions for 18/25, 518/40, 709/237 is 3305358.