Least Common Multiple of 1056/746, 3836/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1056/746, 3836/462 quickly i.e. 506352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1056/746, 3836/462 is 506352.

LCM(1056/746, 3836/462) = 506352

LCM of 1056/746, 3836/462

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 1056/746,3836/462

Given numbers are 1056/746,3836/462

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 1056,3836

Least Common Multiple of Numerators i.e. LCM of 1056,3836 is 1012704.

GCF of Denominators means GCF of 746,462 as per the given fractions.

GCF of 746,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1056,3836

LCM of Fractions 1056/746,3836/462 is 506352

2 1056, 3836
2 528, 1918
264, 959

∴ So the LCM of the given numbers is 2 x 2 x 264 x 959 = 1012704

Least Common Multiple of 1056,3836 with GCF Formula

Least Common Multiple of 1056,3836 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 1056,3836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1056,3836) = 4

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

GCF(1056,3836) x common factors =4 x 1 = 4

LCM(1056,3836) = ( 1056 × 3836 ) / 4

LCM(1056,3836) = 4050816 / 4

LCM(1056,3836) = 1012704


Lets's calculate GCF of 746,462

2 746, 462
373, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1012704/2

Therefore the LCM of Fractions 1056/746,3836/462 is 506352

Greatest Common Factor of 746,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,462 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 746,462 . The biggest common factor number is the GCF number.
So the greatest common factor 746,462 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 1056/746, 3836/462

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 1056/746, 3836/462?

Answer: LCM of Numerators as per given numbers 1056/746, 3836/462 is

LCM of Numerators i.e. for 1056,3836 is 1012704

GCF of denominators i.e. for 746,462 is 2.

Thus, LCM of Fractions is 506352.Finally, LCM of Fractions for 1056/746, 3836/462 is 506352.