Least Common Multiple of 946/21, 728/43, 782/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/21, 728/43, 782/822 quickly i.e. 134638504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/21, 728/43, 782/822 is 134638504.

LCM(946/21, 728/43, 782/822) = 134638504

LCM of 946/21, 728/43, 782/822

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 946/21,728/43,782/822

Given numbers are 946/21,728/43,782/822

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 946,728,782

Least Common Multiple of Numerators i.e. LCM of 946,728,782 is 134638504.

GCF of Denominators means GCF of 21,43,822 as per the given fractions.

GCF of 21,43,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,728,782

LCM of Fractions 946/21,728/43,782/822 is 134638504

2 946, 728, 782
473, 364, 391

∴ So the LCM of the given numbers is 2 x 473 x 364 x 391 = 134638504

Least Common Multiple of 946,728,782 with GCF Formula

Least Common Multiple of 946,728,782 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 946,728,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,728,782) = 2

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

GCF(946,728,782) x common factors =2 x 2 = 4

LCM(946,728,782) = ( 946 × 728 × 782 ) / 4

LCM(946,728,782) = 538554016 / 4

LCM(946,728,782) = 134638504


Lets's calculate GCF of 21,43,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134638504/1

Therefore the LCM of Fractions 946/21,728/43,782/822 is 134638504

Greatest Common Factor of 21,43,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,43,822 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 21,43,822 . The biggest common factor number is the GCF number.
So the greatest common factor 21,43,822 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 946/21, 728/43, 782/822

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 946/21, 728/43, 782/822?

Answer: LCM of Numerators as per given numbers 946/21, 728/43, 782/822 is

LCM of Numerators i.e. for 946,728,782 is 134638504

GCF of denominators i.e. for 21,43,822 is 1.

Thus, LCM of Fractions is 134638504.Finally, LCM of Fractions for 946/21, 728/43, 782/822 is 134638504.