Least Common Multiple of 715/399, 810/719, 594/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/399, 810/719, 594/434 quickly i.e. 115830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/399, 810/719, 594/434 is 115830.

LCM(715/399, 810/719, 594/434) = 115830

LCM of 715/399, 810/719, 594/434

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 715/399,810/719,594/434

Given numbers are 715/399,810/719,594/434

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 715,810,594

Least Common Multiple of Numerators i.e. LCM of 715,810,594 is 115830.

GCF of Denominators means GCF of 399,719,434 as per the given fractions.

GCF of 399,719,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,810,594

LCM of Fractions 715/399,810/719,594/434 is 115830

2 715, 810, 594
3 715, 405, 297
3 715, 135, 99
3 715, 45, 33
5 715, 15, 11
11 143, 3, 11
13, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 11 x 13 x 3 x 1 = 115830

Least Common Multiple of 715,810,594 with GCF Formula

Least Common Multiple of 715,810,594 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 715,810,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,810,594) = 1

common factors(in case of two or more numbers have common factors) = 2970

GCF(715,810,594) x common factors =1 x 2970 = 2970

LCM(715,810,594) = ( 715 × 810 × 594 ) / 2970

LCM(715,810,594) = 344015100 / 2970

LCM(715,810,594) = 115830


Lets's calculate GCF of 399,719,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115830/1

Therefore the LCM of Fractions 715/399,810/719,594/434 is 115830

Greatest Common Factor of 399,719,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,719,434 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 399,719,434 . The biggest common factor number is the GCF number.
So the greatest common factor 399,719,434 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 715/399, 810/719, 594/434

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 715/399, 810/719, 594/434?

Answer: LCM of Numerators as per given numbers 715/399, 810/719, 594/434 is

LCM of Numerators i.e. for 715,810,594 is 115830

GCF of denominators i.e. for 399,719,434 is 1.

Thus, LCM of Fractions is 115830.Finally, LCM of Fractions for 715/399, 810/719, 594/434 is 115830.