Least Common Multiple of 12/886, 46/745, 762/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/886, 46/745, 762/409 quickly i.e. 35052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/886, 46/745, 762/409 is 35052.

LCM(12/886, 46/745, 762/409) = 35052

LCM of 12/886, 46/745, 762/409

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 12/886,46/745,762/409

Given numbers are 12/886,46/745,762/409

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 12,46,762

Least Common Multiple of Numerators i.e. LCM of 12,46,762 is 35052.

GCF of Denominators means GCF of 886,745,409 as per the given fractions.

GCF of 886,745,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,46,762

LCM of Fractions 12/886,46/745,762/409 is 35052

2 12, 46, 762
3 6, 23, 381
2, 23, 127

∴ So the LCM of the given numbers is 2 x 3 x 2 x 23 x 127 = 35052

Least Common Multiple of 12,46,762 with GCF Formula

Least Common Multiple of 12,46,762 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 12,46,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,46,762) = 2

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

GCF(12,46,762) x common factors =2 x 6 = 12

LCM(12,46,762) = ( 12 × 46 × 762 ) / 12

LCM(12,46,762) = 420624 / 12

LCM(12,46,762) = 35052


Lets's calculate GCF of 886,745,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35052/1

Therefore the LCM of Fractions 12/886,46/745,762/409 is 35052

Greatest Common Factor of 886,745,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,745,409 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 886,745,409 . The biggest common factor number is the GCF number.
So the greatest common factor 886,745,409 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 12/886, 46/745, 762/409

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 12/886, 46/745, 762/409?

Answer: LCM of Numerators as per given numbers 12/886, 46/745, 762/409 is

LCM of Numerators i.e. for 12,46,762 is 35052

GCF of denominators i.e. for 886,745,409 is 1.

Thus, LCM of Fractions is 35052.Finally, LCM of Fractions for 12/886, 46/745, 762/409 is 35052.