Least Common Multiple of 462/478, 3706/6986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/478, 3706/6986 quickly i.e. 428043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/478, 3706/6986 is 428043.

LCM(462/478, 3706/6986) = 428043

LCM of 462/478, 3706/6986

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 462/478,3706/6986

Given numbers are 462/478,3706/6986

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 462,3706

Least Common Multiple of Numerators i.e. LCM of 462,3706 is 856086.

GCF of Denominators means GCF of 478,6986 as per the given fractions.

GCF of 478,6986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,3706

LCM of Fractions 462/478,3706/6986 is 428043

2 462, 3706
231, 1853

∴ So the LCM of the given numbers is 2 x 231 x 1853 = 856086

Least Common Multiple of 462,3706 with GCF Formula

Least Common Multiple of 462,3706 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 462,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,3706) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(462,3706) x common factors =2 x 1 = 2

LCM(462,3706) = ( 462 × 3706 ) / 2

LCM(462,3706) = 1712172 / 2

LCM(462,3706) = 856086


Lets's calculate GCF of 478,6986

2 478, 6986
239, 3493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 856086/2

Therefore the LCM of Fractions 462/478,3706/6986 is 428043

Greatest Common Factor of 478,6986 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,6986 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1,2,7,14,499,998,3493,6986

Greatest Common Factor

We found the factors 478,6986 . The biggest common factor number is the GCF number.
So the greatest common factor 478,6986 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 462/478, 3706/6986

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 462/478, 3706/6986?

Answer: LCM of Numerators as per given numbers 462/478, 3706/6986 is

LCM of Numerators i.e. for 462,3706 is 856086

GCF of denominators i.e. for 478,6986 is 2.

Thus, LCM of Fractions is 428043.Finally, LCM of Fractions for 462/478, 3706/6986 is 428043.