Least Common Multiple of 45/68, 317/44, 867/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/68, 317/44, 867/910 quickly i.e. 4122585/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/68, 317/44, 867/910 is 4122585/2.

LCM(45/68, 317/44, 867/910) = 4122585/2

LCM of 45/68, 317/44, 867/910

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 45/68,317/44,867/910

Given numbers are 45/68,317/44,867/910

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 45,317,867

Least Common Multiple of Numerators i.e. LCM of 45,317,867 is 4122585.

GCF of Denominators means GCF of 68,44,910 as per the given fractions.

GCF of 68,44,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,317,867

LCM of Fractions 45/68,317/44,867/910 is 4122585/2

3 45, 317, 867
15, 317, 289

∴ So the LCM of the given numbers is 3 x 15 x 317 x 289 = 4122585

Least Common Multiple of 45,317,867 with GCF Formula

Least Common Multiple of 45,317,867 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 45,317,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,317,867) = 1

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

GCF(45,317,867) x common factors =1 x 3 = 3

LCM(45,317,867) = ( 45 × 317 × 867 ) / 3

LCM(45,317,867) = 12367755 / 3

LCM(45,317,867) = 4122585


Lets's calculate GCF of 68,44,910

2 68, 44, 910
34, 22, 455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4122585/2

Therefore the LCM of Fractions 45/68,317/44,867/910 is 4122585/2

Greatest Common Factor of 68,44,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,44,910 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 68,44,910 . The biggest common factor number is the GCF number.
So the greatest common factor 68,44,910 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 45/68, 317/44, 867/910

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 45/68, 317/44, 867/910?

Answer: LCM of Numerators as per given numbers 45/68, 317/44, 867/910 is

LCM of Numerators i.e. for 45,317,867 is 4122585

GCF of denominators i.e. for 68,44,910 is 2.

Thus, LCM of Fractions is 4122585/2.Finally, LCM of Fractions for 45/68, 317/44, 867/910 is 4122585/2.