Least Common Multiple of 47/828, 37/278, 509/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/828, 37/278, 509/693 quickly i.e. 885151 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/828, 37/278, 509/693 is 885151.

LCM(47/828, 37/278, 509/693) = 885151

LCM of 47/828, 37/278, 509/693

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 47/828,37/278,509/693

Given numbers are 47/828,37/278,509/693

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 47,37,509

Least Common Multiple of Numerators i.e. LCM of 47,37,509 is 885151.

GCF of Denominators means GCF of 828,278,693 as per the given fractions.

GCF of 828,278,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,37,509

LCM of Fractions 47/828,37/278,509/693 is 885151

Given numbers has no common factors except 1. So, there LCM is their product i.e 885151

Least Common Multiple of 47,37,509 with GCF Formula

Least Common Multiple of 47,37,509 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 47,37,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,37,509) = 1

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

GCF(47,37,509) x common factors =1 x 1 = 1

LCM(47,37,509) = ( 47 × 37 × 509 ) / 1

LCM(47,37,509) = 885151 / 1

LCM(47,37,509) = 885151


Lets's calculate GCF of 828,278,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 885151/1

Therefore the LCM of Fractions 47/828,37/278,509/693 is 885151

Greatest Common Factor of 828,278,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,278,693 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 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 828,278,693 . The biggest common factor number is the GCF number.
So the greatest common factor 828,278,693 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 47/828, 37/278, 509/693

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 47/828, 37/278, 509/693?

Answer: LCM of Numerators as per given numbers 47/828, 37/278, 509/693 is

LCM of Numerators i.e. for 47,37,509 is 885151

GCF of denominators i.e. for 828,278,693 is 1.

Thus, LCM of Fractions is 885151.Finally, LCM of Fractions for 47/828, 37/278, 509/693 is 885151.