Least Common Multiple of 685/52, 679/30, 549/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/52, 679/30, 549/704 quickly i.e. 255348135/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/52, 679/30, 549/704 is 255348135/2.

LCM(685/52, 679/30, 549/704) = 255348135/2

LCM of 685/52, 679/30, 549/704

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 685/52,679/30,549/704

Given numbers are 685/52,679/30,549/704

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 685,679,549

Least Common Multiple of Numerators i.e. LCM of 685,679,549 is 255348135.

GCF of Denominators means GCF of 52,30,704 as per the given fractions.

GCF of 52,30,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,679,549

LCM of Fractions 685/52,679/30,549/704 is 255348135/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 255348135

Least Common Multiple of 685,679,549 with GCF Formula

Least Common Multiple of 685,679,549 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 685,679,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,679,549) = 1

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

GCF(685,679,549) x common factors =1 x 1 = 1

LCM(685,679,549) = ( 685 × 679 × 549 ) / 1

LCM(685,679,549) = 255348135 / 1

LCM(685,679,549) = 255348135


Lets's calculate GCF of 52,30,704

2 52, 30, 704
26, 15, 352

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255348135/2

Therefore the LCM of Fractions 685/52,679/30,549/704 is 255348135/2

Greatest Common Factor of 52,30,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,30,704 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 52,30,704 . The biggest common factor number is the GCF number.
So the greatest common factor 52,30,704 is 2.


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 685/52, 679/30, 549/704

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 685/52, 679/30, 549/704?

Answer: LCM of Numerators as per given numbers 685/52, 679/30, 549/704 is

LCM of Numerators i.e. for 685,679,549 is 255348135

GCF of denominators i.e. for 52,30,704 is 2.

Thus, LCM of Fractions is 255348135/2.Finally, LCM of Fractions for 685/52, 679/30, 549/704 is 255348135/2.