Least Common Multiple of 78/400, 19/686, 386/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/400, 19/686, 386/681 quickly i.e. 286026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/400, 19/686, 386/681 is 286026.

LCM(78/400, 19/686, 386/681) = 286026

LCM of 78/400, 19/686, 386/681

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 78/400,19/686,386/681

Given numbers are 78/400,19/686,386/681

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 78,19,386

Least Common Multiple of Numerators i.e. LCM of 78,19,386 is 286026.

GCF of Denominators means GCF of 400,686,681 as per the given fractions.

GCF of 400,686,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,19,386

LCM of Fractions 78/400,19/686,386/681 is 286026

2 78, 19, 386
39, 19, 193

∴ So the LCM of the given numbers is 2 x 39 x 19 x 193 = 286026

Least Common Multiple of 78,19,386 with GCF Formula

Least Common Multiple of 78,19,386 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 78,19,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,19,386) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,19,386) x common factors =1 x 2 = 2

LCM(78,19,386) = ( 78 × 19 × 386 ) / 2

LCM(78,19,386) = 572052 / 2

LCM(78,19,386) = 286026


Lets's calculate GCF of 400,686,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286026/1

Therefore the LCM of Fractions 78/400,19/686,386/681 is 286026

Greatest Common Factor of 400,686,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,686,681 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 400,686,681 . The biggest common factor number is the GCF number.
So the greatest common factor 400,686,681 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 78/400, 19/686, 386/681

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 78/400, 19/686, 386/681?

Answer: LCM of Numerators as per given numbers 78/400, 19/686, 386/681 is

LCM of Numerators i.e. for 78,19,386 is 286026

GCF of denominators i.e. for 400,686,681 is 1.

Thus, LCM of Fractions is 286026.Finally, LCM of Fractions for 78/400, 19/686, 386/681 is 286026.