Least Common Multiple of 51/398, 306/967, 463/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/398, 306/967, 463/781 quickly i.e. 141678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/398, 306/967, 463/781 is 141678.

LCM(51/398, 306/967, 463/781) = 141678

LCM of 51/398, 306/967, 463/781

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 51/398,306/967,463/781

Given numbers are 51/398,306/967,463/781

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 51,306,463

Least Common Multiple of Numerators i.e. LCM of 51,306,463 is 141678.

GCF of Denominators means GCF of 398,967,781 as per the given fractions.

GCF of 398,967,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,306,463

LCM of Fractions 51/398,306/967,463/781 is 141678

3 51, 306, 463
17 17, 102, 463
1, 6, 463

∴ So the LCM of the given numbers is 3 x 17 x 1 x 6 x 463 = 141678

Least Common Multiple of 51,306,463 with GCF Formula

Least Common Multiple of 51,306,463 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 51,306,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,306,463) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,306,463) x common factors =1 x 51 = 51

LCM(51,306,463) = ( 51 × 306 × 463 ) / 51

LCM(51,306,463) = 7225578 / 51

LCM(51,306,463) = 141678


Lets's calculate GCF of 398,967,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141678/1

Therefore the LCM of Fractions 51/398,306/967,463/781 is 141678

Greatest Common Factor of 398,967,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,967,781 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 398,967,781 . The biggest common factor number is the GCF number.
So the greatest common factor 398,967,781 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 51/398, 306/967, 463/781

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 51/398, 306/967, 463/781?

Answer: LCM of Numerators as per given numbers 51/398, 306/967, 463/781 is

LCM of Numerators i.e. for 51,306,463 is 141678

GCF of denominators i.e. for 398,967,781 is 1.

Thus, LCM of Fractions is 141678.Finally, LCM of Fractions for 51/398, 306/967, 463/781 is 141678.