Least Common Multiple of 684/17, 639/78, 779/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/17, 639/78, 779/533 quickly i.e. 1991124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/17, 639/78, 779/533 is 1991124.

LCM(684/17, 639/78, 779/533) = 1991124

LCM of 684/17, 639/78, 779/533

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 684/17,639/78,779/533

Given numbers are 684/17,639/78,779/533

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 684,639,779

Least Common Multiple of Numerators i.e. LCM of 684,639,779 is 1991124.

GCF of Denominators means GCF of 17,78,533 as per the given fractions.

GCF of 17,78,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,639,779

LCM of Fractions 684/17,639/78,779/533 is 1991124

3 684, 639, 779
3 228, 213, 779
19 76, 71, 779
4, 71, 41

∴ So the LCM of the given numbers is 3 x 3 x 19 x 4 x 71 x 41 = 1991124

Least Common Multiple of 684,639,779 with GCF Formula

Least Common Multiple of 684,639,779 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 684,639,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,639,779) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(684,639,779) x common factors =1 x 171 = 171

LCM(684,639,779) = ( 684 × 639 × 779 ) / 171

LCM(684,639,779) = 340482204 / 171

LCM(684,639,779) = 1991124


Lets's calculate GCF of 17,78,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1991124/1

Therefore the LCM of Fractions 684/17,639/78,779/533 is 1991124

Greatest Common Factor of 17,78,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,78,533 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 17,78,533 . The biggest common factor number is the GCF number.
So the greatest common factor 17,78,533 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 684/17, 639/78, 779/533

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 684/17, 639/78, 779/533?

Answer: LCM of Numerators as per given numbers 684/17, 639/78, 779/533 is

LCM of Numerators i.e. for 684,639,779 is 1991124

GCF of denominators i.e. for 17,78,533 is 1.

Thus, LCM of Fractions is 1991124.Finally, LCM of Fractions for 684/17, 639/78, 779/533 is 1991124.