Least Common Multiple of 901/68, 487/24, 918/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 901/68, 487/24, 918/10 quickly i.e. 11847249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 901/68, 487/24, 918/10 is 11847249.

LCM(901/68, 487/24, 918/10) = 11847249

LCM of 901/68, 487/24, 918/10

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 901/68,487/24,918/10

Given numbers are 901/68,487/24,918/10

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 901,487,918

Least Common Multiple of Numerators i.e. LCM of 901,487,918 is 23694498.

GCF of Denominators means GCF of 68,24,10 as per the given fractions.

GCF of 68,24,10 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 901,487,918

LCM of Fractions 901/68,487/24,918/10 is 11847249

17 901, 487, 918
53, 487, 54

∴ So the LCM of the given numbers is 17 x 53 x 487 x 54 = 23694498

Least Common Multiple of 901,487,918 with GCF Formula

Least Common Multiple of 901,487,918 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 901,487,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,487,918) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(901,487,918) x common factors =1 x 17 = 17

LCM(901,487,918) = ( 901 × 487 × 918 ) / 17

LCM(901,487,918) = 402806466 / 17

LCM(901,487,918) = 23694498


Lets's calculate GCF of 68,24,10

2 68, 24, 10
34, 12, 5

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23694498/2

Therefore the LCM of Fractions 901/68,487/24,918/10 is 11847249

Greatest Common Factor of 68,24,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,24,10 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 68,24,10 . The biggest common factor number is the GCF number.
So the greatest common factor 68,24,10 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 901/68, 487/24, 918/10

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 901/68, 487/24, 918/10?

Answer: LCM of Numerators as per given numbers 901/68, 487/24, 918/10 is

LCM of Numerators i.e. for 901,487,918 is 23694498

GCF of denominators i.e. for 68,24,10 is 2.

Thus, LCM of Fractions is 11847249.Finally, LCM of Fractions for 901/68, 487/24, 918/10 is 11847249.