Least Common Multiple of 386/912, 457/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/912, 457/636 quickly i.e. 176402/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/912, 457/636 is 176402/12.

LCM(386/912, 457/636) = 176402/12

LCM of 386/912, 457/636

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 386/912,457/636

Given numbers are 386/912,457/636

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 386,457

Least Common Multiple of Numerators i.e. LCM of 386,457 is 176402.

GCF of Denominators means GCF of 912,636 as per the given fractions.

GCF of 912,636 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,457

LCM of Fractions 386/912,457/636 is 176402/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 176402

Least Common Multiple of 386,457 with GCF Formula

Least Common Multiple of 386,457 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 386,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,457) = 1

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

GCF(386,457) x common factors =1 x 1 = 1

LCM(386,457) = ( 386 × 457 ) / 1

LCM(386,457) = 176402 / 1

LCM(386,457) = 176402


Lets's calculate GCF of 912,636

2 912, 636
2 456, 318
3 228, 159
76, 53

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176402/12

Therefore the LCM of Fractions 386/912,457/636 is 176402/12

Greatest Common Factor of 912,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,636 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 912,636 . The biggest common factor number is the GCF number.
So the greatest common factor 912,636 is 12.


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 386/912, 457/636

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 386/912, 457/636?

Answer: LCM of Numerators as per given numbers 386/912, 457/636 is

LCM of Numerators i.e. for 386,457 is 176402

GCF of denominators i.e. for 912,636 is 12.

Thus, LCM of Fractions is 176402/12.Finally, LCM of Fractions for 386/912, 457/636 is 176402/12.