Least Common Multiple of 34/741, 625/589, 315/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/741, 625/589, 315/630 quickly i.e. 1338750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/741, 625/589, 315/630 is 1338750.

LCM(34/741, 625/589, 315/630) = 1338750

LCM of 34/741, 625/589, 315/630

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 34/741,625/589,315/630

Given numbers are 34/741,625/589,315/630

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 34,625,315

Least Common Multiple of Numerators i.e. LCM of 34,625,315 is 1338750.

GCF of Denominators means GCF of 741,589,630 as per the given fractions.

GCF of 741,589,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,625,315

LCM of Fractions 34/741,625/589,315/630 is 1338750

5 34, 625, 315
34, 125, 63

∴ So the LCM of the given numbers is 5 x 34 x 125 x 63 = 1338750

Least Common Multiple of 34,625,315 with GCF Formula

Least Common Multiple of 34,625,315 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 34,625,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,625,315) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(34,625,315) x common factors =1 x 5 = 5

LCM(34,625,315) = ( 34 × 625 × 315 ) / 5

LCM(34,625,315) = 6693750 / 5

LCM(34,625,315) = 1338750


Lets's calculate GCF of 741,589,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1338750/1

Therefore the LCM of Fractions 34/741,625/589,315/630 is 1338750

Greatest Common Factor of 741,589,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,589,630 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 741,589,630 . The biggest common factor number is the GCF number.
So the greatest common factor 741,589,630 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 34/741, 625/589, 315/630

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 34/741, 625/589, 315/630?

Answer: LCM of Numerators as per given numbers 34/741, 625/589, 315/630 is

LCM of Numerators i.e. for 34,625,315 is 1338750

GCF of denominators i.e. for 741,589,630 is 1.

Thus, LCM of Fractions is 1338750.Finally, LCM of Fractions for 34/741, 625/589, 315/630 is 1338750.