Least Common Multiple of 46/18, 368/40, 645/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/18, 368/40, 645/748 quickly i.e. 118680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/18, 368/40, 645/748 is 118680.

LCM(46/18, 368/40, 645/748) = 118680

LCM of 46/18, 368/40, 645/748

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 46/18,368/40,645/748

Given numbers are 46/18,368/40,645/748

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 46,368,645

Least Common Multiple of Numerators i.e. LCM of 46,368,645 is 237360.

GCF of Denominators means GCF of 18,40,748 as per the given fractions.

GCF of 18,40,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,368,645

LCM of Fractions 46/18,368/40,645/748 is 118680

2 46, 368, 645
23 23, 184, 645
1, 8, 645

∴ So the LCM of the given numbers is 2 x 23 x 1 x 8 x 645 = 237360

Least Common Multiple of 46,368,645 with GCF Formula

Least Common Multiple of 46,368,645 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 46,368,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,368,645) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(46,368,645) x common factors =1 x 46 = 46

LCM(46,368,645) = ( 46 × 368 × 645 ) / 46

LCM(46,368,645) = 10918560 / 46

LCM(46,368,645) = 237360


Lets's calculate GCF of 18,40,748

2 18, 40, 748
9, 20, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237360/2

Therefore the LCM of Fractions 46/18,368/40,645/748 is 118680

Greatest Common Factor of 18,40,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,40,748 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 18,40,748 . The biggest common factor number is the GCF number.
So the greatest common factor 18,40,748 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 46/18, 368/40, 645/748

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 46/18, 368/40, 645/748?

Answer: LCM of Numerators as per given numbers 46/18, 368/40, 645/748 is

LCM of Numerators i.e. for 46,368,645 is 237360

GCF of denominators i.e. for 18,40,748 is 2.

Thus, LCM of Fractions is 118680.Finally, LCM of Fractions for 46/18, 368/40, 645/748 is 118680.