Least Common Multiple of 46/612, 90/748, 350/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/612, 90/748, 350/407 quickly i.e. 72450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/612, 90/748, 350/407 is 72450.

LCM(46/612, 90/748, 350/407) = 72450

LCM of 46/612, 90/748, 350/407

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 46/612,90/748,350/407

Given numbers are 46/612,90/748,350/407

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 46,90,350

Least Common Multiple of Numerators i.e. LCM of 46,90,350 is 72450.

GCF of Denominators means GCF of 612,748,407 as per the given fractions.

GCF of 612,748,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,90,350

LCM of Fractions 46/612,90/748,350/407 is 72450

2 46, 90, 350
5 23, 45, 175
23, 9, 35

∴ So the LCM of the given numbers is 2 x 5 x 23 x 9 x 35 = 72450

Least Common Multiple of 46,90,350 with GCF Formula

Least Common Multiple of 46,90,350 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 46,90,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,90,350) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(46,90,350) x common factors =2 x 10 = 20

LCM(46,90,350) = ( 46 × 90 × 350 ) / 20

LCM(46,90,350) = 1449000 / 20

LCM(46,90,350) = 72450


Lets's calculate GCF of 612,748,407

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72450/1

Therefore the LCM of Fractions 46/612,90/748,350/407 is 72450

Greatest Common Factor of 612,748,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,748,407 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

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

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 612,748,407 . The biggest common factor number is the GCF number.
So the greatest common factor 612,748,407 is 1.


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 46/612, 90/748, 350/407

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 46/612, 90/748, 350/407?

Answer: LCM of Numerators as per given numbers 46/612, 90/748, 350/407 is

LCM of Numerators i.e. for 46,90,350 is 72450

GCF of denominators i.e. for 612,748,407 is 1.

Thus, LCM of Fractions is 72450.Finally, LCM of Fractions for 46/612, 90/748, 350/407 is 72450.