Least Common Multiple of 407/34, 762/60, 451/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/34, 762/60, 451/394 quickly i.e. 6357747 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/34, 762/60, 451/394 is 6357747.

LCM(407/34, 762/60, 451/394) = 6357747

LCM of 407/34, 762/60, 451/394

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 407/34,762/60,451/394

Given numbers are 407/34,762/60,451/394

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 407,762,451

Least Common Multiple of Numerators i.e. LCM of 407,762,451 is 12715494.

GCF of Denominators means GCF of 34,60,394 as per the given fractions.

GCF of 34,60,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,762,451

LCM of Fractions 407/34,762/60,451/394 is 6357747

11 407, 762, 451
37, 762, 41

∴ So the LCM of the given numbers is 11 x 37 x 762 x 41 = 12715494

Least Common Multiple of 407,762,451 with GCF Formula

Least Common Multiple of 407,762,451 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 407,762,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,762,451) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(407,762,451) x common factors =1 x 11 = 11

LCM(407,762,451) = ( 407 × 762 × 451 ) / 11

LCM(407,762,451) = 139870434 / 11

LCM(407,762,451) = 12715494


Lets's calculate GCF of 34,60,394

2 34, 60, 394
17, 30, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12715494/2

Therefore the LCM of Fractions 407/34,762/60,451/394 is 6357747

Greatest Common Factor of 34,60,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,60,394 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 34,60,394 . The biggest common factor number is the GCF number.
So the greatest common factor 34,60,394 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 407/34, 762/60, 451/394

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 407/34, 762/60, 451/394?

Answer: LCM of Numerators as per given numbers 407/34, 762/60, 451/394 is

LCM of Numerators i.e. for 407,762,451 is 12715494

GCF of denominators i.e. for 34,60,394 is 2.

Thus, LCM of Fractions is 6357747.Finally, LCM of Fractions for 407/34, 762/60, 451/394 is 6357747.