Least Common Multiple of 414/746, 300/708, 381/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/746, 300/708, 381/627 quickly i.e. 2628900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/746, 300/708, 381/627 is 2628900.

LCM(414/746, 300/708, 381/627) = 2628900

LCM of 414/746, 300/708, 381/627

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 414/746,300/708,381/627

Given numbers are 414/746,300/708,381/627

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 414,300,381

Least Common Multiple of Numerators i.e. LCM of 414,300,381 is 2628900.

GCF of Denominators means GCF of 746,708,627 as per the given fractions.

GCF of 746,708,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,300,381

LCM of Fractions 414/746,300/708,381/627 is 2628900

2 414, 300, 381
3 207, 150, 381
69, 50, 127

∴ So the LCM of the given numbers is 2 x 3 x 69 x 50 x 127 = 2628900

Least Common Multiple of 414,300,381 with GCF Formula

Least Common Multiple of 414,300,381 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 414,300,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,300,381) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(414,300,381) x common factors =3 x 6 = 18

LCM(414,300,381) = ( 414 × 300 × 381 ) / 18

LCM(414,300,381) = 47320200 / 18

LCM(414,300,381) = 2628900


Lets's calculate GCF of 746,708,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2628900/1

Therefore the LCM of Fractions 414/746,300/708,381/627 is 2628900

Greatest Common Factor of 746,708,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,708,627 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 746,708,627 . The biggest common factor number is the GCF number.
So the greatest common factor 746,708,627 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 414/746, 300/708, 381/627

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 414/746, 300/708, 381/627?

Answer: LCM of Numerators as per given numbers 414/746, 300/708, 381/627 is

LCM of Numerators i.e. for 414,300,381 is 2628900

GCF of denominators i.e. for 746,708,627 is 1.

Thus, LCM of Fractions is 2628900.Finally, LCM of Fractions for 414/746, 300/708, 381/627 is 2628900.