Least Common Multiple of 16/828, 22/957, 715/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/828, 22/957, 715/478 quickly i.e. 11440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/828, 22/957, 715/478 is 11440.

LCM(16/828, 22/957, 715/478) = 11440

LCM of 16/828, 22/957, 715/478

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 16/828,22/957,715/478

Given numbers are 16/828,22/957,715/478

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 16,22,715

Least Common Multiple of Numerators i.e. LCM of 16,22,715 is 11440.

GCF of Denominators means GCF of 828,957,478 as per the given fractions.

GCF of 828,957,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,22,715

LCM of Fractions 16/828,22/957,715/478 is 11440

2 16, 22, 715
11 8, 11, 715
8, 1, 65

∴ So the LCM of the given numbers is 2 x 11 x 8 x 1 x 65 = 11440

Least Common Multiple of 16,22,715 with GCF Formula

Least Common Multiple of 16,22,715 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 16,22,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,22,715) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(16,22,715) x common factors =1 x 22 = 22

LCM(16,22,715) = ( 16 × 22 × 715 ) / 22

LCM(16,22,715) = 251680 / 22

LCM(16,22,715) = 11440


Lets's calculate GCF of 828,957,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11440/1

Therefore the LCM of Fractions 16/828,22/957,715/478 is 11440

Greatest Common Factor of 828,957,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,957,478 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 478

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

1,2,239,478

Greatest Common Factor

We found the factors 828,957,478 . The biggest common factor number is the GCF number.
So the greatest common factor 828,957,478 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 16/828, 22/957, 715/478

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 16/828, 22/957, 715/478?

Answer: LCM of Numerators as per given numbers 16/828, 22/957, 715/478 is

LCM of Numerators i.e. for 16,22,715 is 11440

GCF of denominators i.e. for 828,957,478 is 1.

Thus, LCM of Fractions is 11440.Finally, LCM of Fractions for 16/828, 22/957, 715/478 is 11440.