Least Common Multiple of 15/40, 682/72, 207/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/40, 682/72, 207/818 quickly i.e. 352935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/40, 682/72, 207/818 is 352935.

LCM(15/40, 682/72, 207/818) = 352935

LCM of 15/40, 682/72, 207/818

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 15/40,682/72,207/818

Given numbers are 15/40,682/72,207/818

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 15,682,207

Least Common Multiple of Numerators i.e. LCM of 15,682,207 is 705870.

GCF of Denominators means GCF of 40,72,818 as per the given fractions.

GCF of 40,72,818 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,682,207

LCM of Fractions 15/40,682/72,207/818 is 352935

3 15, 682, 207
5, 682, 69

∴ So the LCM of the given numbers is 3 x 5 x 682 x 69 = 705870

Least Common Multiple of 15,682,207 with GCF Formula

Least Common Multiple of 15,682,207 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 15,682,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,682,207) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,682,207) x common factors =1 x 3 = 3

LCM(15,682,207) = ( 15 × 682 × 207 ) / 3

LCM(15,682,207) = 2117610 / 3

LCM(15,682,207) = 705870


Lets's calculate GCF of 40,72,818

2 40, 72, 818
20, 36, 409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705870/2

Therefore the LCM of Fractions 15/40,682/72,207/818 is 352935

Greatest Common Factor of 40,72,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,72,818 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 40,72,818 . The biggest common factor number is the GCF number.
So the greatest common factor 40,72,818 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 15/40, 682/72, 207/818

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 15/40, 682/72, 207/818?

Answer: LCM of Numerators as per given numbers 15/40, 682/72, 207/818 is

LCM of Numerators i.e. for 15,682,207 is 705870

GCF of denominators i.e. for 40,72,818 is 2.

Thus, LCM of Fractions is 352935.Finally, LCM of Fractions for 15/40, 682/72, 207/818 is 352935.