Least Common Multiple of 734/52, 564/85, 570/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/52, 564/85, 570/704 quickly i.e. 19663860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/52, 564/85, 570/704 is 19663860.

LCM(734/52, 564/85, 570/704) = 19663860

LCM of 734/52, 564/85, 570/704

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 734/52,564/85,570/704

Given numbers are 734/52,564/85,570/704

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 734,564,570

Least Common Multiple of Numerators i.e. LCM of 734,564,570 is 19663860.

GCF of Denominators means GCF of 52,85,704 as per the given fractions.

GCF of 52,85,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,564,570

LCM of Fractions 734/52,564/85,570/704 is 19663860

2 734, 564, 570
3 367, 282, 285
367, 94, 95

∴ So the LCM of the given numbers is 2 x 3 x 367 x 94 x 95 = 19663860

Least Common Multiple of 734,564,570 with GCF Formula

Least Common Multiple of 734,564,570 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 734,564,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,564,570) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(734,564,570) x common factors =2 x 6 = 12

LCM(734,564,570) = ( 734 × 564 × 570 ) / 12

LCM(734,564,570) = 235966320 / 12

LCM(734,564,570) = 19663860


Lets's calculate GCF of 52,85,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19663860/1

Therefore the LCM of Fractions 734/52,564/85,570/704 is 19663860

Greatest Common Factor of 52,85,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,85,704 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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

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 52,85,704 . The biggest common factor number is the GCF number.
So the greatest common factor 52,85,704 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 734/52, 564/85, 570/704

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 734/52, 564/85, 570/704?

Answer: LCM of Numerators as per given numbers 734/52, 564/85, 570/704 is

LCM of Numerators i.e. for 734,564,570 is 19663860

GCF of denominators i.e. for 52,85,704 is 1.

Thus, LCM of Fractions is 19663860.Finally, LCM of Fractions for 734/52, 564/85, 570/704 is 19663860.