Least Common Multiple of 928/69, 535/40, 350/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/69, 535/40, 350/828 quickly i.e. 17376800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/69, 535/40, 350/828 is 17376800.

LCM(928/69, 535/40, 350/828) = 17376800

LCM of 928/69, 535/40, 350/828

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 928/69,535/40,350/828

Given numbers are 928/69,535/40,350/828

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 928,535,350

Least Common Multiple of Numerators i.e. LCM of 928,535,350 is 17376800.

GCF of Denominators means GCF of 69,40,828 as per the given fractions.

GCF of 69,40,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,535,350

LCM of Fractions 928/69,535/40,350/828 is 17376800

2 928, 535, 350
5 464, 535, 175
464, 107, 35

∴ So the LCM of the given numbers is 2 x 5 x 464 x 107 x 35 = 17376800

Least Common Multiple of 928,535,350 with GCF Formula

Least Common Multiple of 928,535,350 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 928,535,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,535,350) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(928,535,350) x common factors =1 x 10 = 10

LCM(928,535,350) = ( 928 × 535 × 350 ) / 10

LCM(928,535,350) = 173768000 / 10

LCM(928,535,350) = 17376800


Lets's calculate GCF of 69,40,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17376800/1

Therefore the LCM of Fractions 928/69,535/40,350/828 is 17376800

Greatest Common Factor of 69,40,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,40,828 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

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

Greatest Common Factor

We found the factors 69,40,828 . The biggest common factor number is the GCF number.
So the greatest common factor 69,40,828 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 928/69, 535/40, 350/828

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 928/69, 535/40, 350/828?

Answer: LCM of Numerators as per given numbers 928/69, 535/40, 350/828 is

LCM of Numerators i.e. for 928,535,350 is 17376800

GCF of denominators i.e. for 69,40,828 is 1.

Thus, LCM of Fractions is 17376800.Finally, LCM of Fractions for 928/69, 535/40, 350/828 is 17376800.