Least Common Multiple of 15/154, 395/818, 732/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/154, 395/818, 732/216 quickly i.e. 144570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/154, 395/818, 732/216 is 144570.

LCM(15/154, 395/818, 732/216) = 144570

LCM of 15/154, 395/818, 732/216

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 15/154,395/818,732/216

Given numbers are 15/154,395/818,732/216

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 15,395,732

Least Common Multiple of Numerators i.e. LCM of 15,395,732 is 289140.

GCF of Denominators means GCF of 154,818,216 as per the given fractions.

GCF of 154,818,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,395,732

LCM of Fractions 15/154,395/818,732/216 is 144570

3 15, 395, 732
5 5, 395, 244
1, 79, 244

∴ So the LCM of the given numbers is 3 x 5 x 1 x 79 x 244 = 289140

Least Common Multiple of 15,395,732 with GCF Formula

Least Common Multiple of 15,395,732 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 15,395,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,395,732) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,395,732) x common factors =1 x 15 = 15

LCM(15,395,732) = ( 15 × 395 × 732 ) / 15

LCM(15,395,732) = 4337100 / 15

LCM(15,395,732) = 289140


Lets's calculate GCF of 154,818,216

2 154, 818, 216
77, 409, 108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289140/2

Therefore the LCM of Fractions 15/154,395/818,732/216 is 144570

Greatest Common Factor of 154,818,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,818,216 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 818

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

1,2,409,818

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 154,818,216 . The biggest common factor number is the GCF number.
So the greatest common factor 154,818,216 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 15/154, 395/818, 732/216

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 15/154, 395/818, 732/216?

Answer: LCM of Numerators as per given numbers 15/154, 395/818, 732/216 is

LCM of Numerators i.e. for 15,395,732 is 289140

GCF of denominators i.e. for 154,818,216 is 2.

Thus, LCM of Fractions is 144570.Finally, LCM of Fractions for 15/154, 395/818, 732/216 is 144570.