Least Common Multiple of 794/528, 546/716, 284/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/528, 546/716, 284/347 quickly i.e. 30780204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/528, 546/716, 284/347 is 30780204.

LCM(794/528, 546/716, 284/347) = 30780204

LCM of 794/528, 546/716, 284/347

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 794/528,546/716,284/347

Given numbers are 794/528,546/716,284/347

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 794,546,284

Least Common Multiple of Numerators i.e. LCM of 794,546,284 is 30780204.

GCF of Denominators means GCF of 528,716,347 as per the given fractions.

GCF of 528,716,347 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,546,284

LCM of Fractions 794/528,546/716,284/347 is 30780204

2 794, 546, 284
397, 273, 142

∴ So the LCM of the given numbers is 2 x 397 x 273 x 142 = 30780204

Least Common Multiple of 794,546,284 with GCF Formula

Least Common Multiple of 794,546,284 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 794,546,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,546,284) = 2

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

GCF(794,546,284) x common factors =2 x 2 = 4

LCM(794,546,284) = ( 794 × 546 × 284 ) / 4

LCM(794,546,284) = 123120816 / 4

LCM(794,546,284) = 30780204


Lets's calculate GCF of 528,716,347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30780204/1

Therefore the LCM of Fractions 794/528,546/716,284/347 is 30780204

Greatest Common Factor of 528,716,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,716,347 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 528,716,347 . The biggest common factor number is the GCF number.
So the greatest common factor 528,716,347 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 794/528, 546/716, 284/347

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 794/528, 546/716, 284/347?

Answer: LCM of Numerators as per given numbers 794/528, 546/716, 284/347 is

LCM of Numerators i.e. for 794,546,284 is 30780204

GCF of denominators i.e. for 528,716,347 is 1.

Thus, LCM of Fractions is 30780204.Finally, LCM of Fractions for 794/528, 546/716, 284/347 is 30780204.