Least Common Multiple of 918/75, 580/54, 386/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/75, 580/54, 386/666 quickly i.e. 17126820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/75, 580/54, 386/666 is 17126820.

LCM(918/75, 580/54, 386/666) = 17126820

LCM of 918/75, 580/54, 386/666

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 918/75,580/54,386/666

Given numbers are 918/75,580/54,386/666

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 918,580,386

Least Common Multiple of Numerators i.e. LCM of 918,580,386 is 51380460.

GCF of Denominators means GCF of 75,54,666 as per the given fractions.

GCF of 75,54,666 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,580,386

LCM of Fractions 918/75,580/54,386/666 is 17126820

2 918, 580, 386
459, 290, 193

∴ So the LCM of the given numbers is 2 x 459 x 290 x 193 = 51380460

Least Common Multiple of 918,580,386 with GCF Formula

Least Common Multiple of 918,580,386 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 918,580,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,580,386) = 2

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

GCF(918,580,386) x common factors =2 x 2 = 4

LCM(918,580,386) = ( 918 × 580 × 386 ) / 4

LCM(918,580,386) = 205521840 / 4

LCM(918,580,386) = 51380460


Lets's calculate GCF of 75,54,666

3 75, 54, 666
25, 18, 222

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51380460/3

Therefore the LCM of Fractions 918/75,580/54,386/666 is 17126820

Greatest Common Factor of 75,54,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,54,666 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 75,54,666 . The biggest common factor number is the GCF number.
So the greatest common factor 75,54,666 is 3.


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 918/75, 580/54, 386/666

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 918/75, 580/54, 386/666?

Answer: LCM of Numerators as per given numbers 918/75, 580/54, 386/666 is

LCM of Numerators i.e. for 918,580,386 is 51380460

GCF of denominators i.e. for 75,54,666 is 3.

Thus, LCM of Fractions is 17126820.Finally, LCM of Fractions for 918/75, 580/54, 386/666 is 17126820.