Least Common Multiple of 78/615, 10/933, 479/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/615, 10/933, 479/693 quickly i.e. 62270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/615, 10/933, 479/693 is 62270.

LCM(78/615, 10/933, 479/693) = 62270

LCM of 78/615, 10/933, 479/693

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 78/615,10/933,479/693

Given numbers are 78/615,10/933,479/693

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 78,10,479

Least Common Multiple of Numerators i.e. LCM of 78,10,479 is 186810.

GCF of Denominators means GCF of 615,933,693 as per the given fractions.

GCF of 615,933,693 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,10,479

LCM of Fractions 78/615,10/933,479/693 is 62270

2 78, 10, 479
39, 5, 479

∴ So the LCM of the given numbers is 2 x 39 x 5 x 479 = 186810

Least Common Multiple of 78,10,479 with GCF Formula

Least Common Multiple of 78,10,479 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 78,10,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,10,479) = 1

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

GCF(78,10,479) x common factors =1 x 2 = 2

LCM(78,10,479) = ( 78 × 10 × 479 ) / 2

LCM(78,10,479) = 373620 / 2

LCM(78,10,479) = 186810


Lets's calculate GCF of 615,933,693

3 615, 933, 693
205, 311, 231

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186810/3

Therefore the LCM of Fractions 78/615,10/933,479/693 is 62270

Greatest Common Factor of 615,933,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,933,693 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

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 615,933,693 . The biggest common factor number is the GCF number.
So the greatest common factor 615,933,693 is 3.


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 78/615, 10/933, 479/693

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 78/615, 10/933, 479/693?

Answer: LCM of Numerators as per given numbers 78/615, 10/933, 479/693 is

LCM of Numerators i.e. for 78,10,479 is 186810

GCF of denominators i.e. for 615,933,693 is 3.

Thus, LCM of Fractions is 62270.Finally, LCM of Fractions for 78/615, 10/933, 479/693 is 62270.