Least Common Multiple of 89/596, 935/713, 894/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/596, 935/713, 894/506 quickly i.e. 74394210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/596, 935/713, 894/506 is 74394210.

LCM(89/596, 935/713, 894/506) = 74394210

LCM of 89/596, 935/713, 894/506

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 89/596,935/713,894/506

Given numbers are 89/596,935/713,894/506

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 89,935,894

Least Common Multiple of Numerators i.e. LCM of 89,935,894 is 74394210.

GCF of Denominators means GCF of 596,713,506 as per the given fractions.

GCF of 596,713,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,935,894

LCM of Fractions 89/596,935/713,894/506 is 74394210

Given numbers has no common factors except 1. So, there LCM is their product i.e 74394210

Least Common Multiple of 89,935,894 with GCF Formula

Least Common Multiple of 89,935,894 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 89,935,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,935,894) = 1

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

GCF(89,935,894) x common factors =1 x 1 = 1

LCM(89,935,894) = ( 89 × 935 × 894 ) / 1

LCM(89,935,894) = 74394210 / 1

LCM(89,935,894) = 74394210


Lets's calculate GCF of 596,713,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74394210/1

Therefore the LCM of Fractions 89/596,935/713,894/506 is 74394210

Greatest Common Factor of 596,713,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,713,506 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 596,713,506 . The biggest common factor number is the GCF number.
So the greatest common factor 596,713,506 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 89/596, 935/713, 894/506

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 89/596, 935/713, 894/506?

Answer: LCM of Numerators as per given numbers 89/596, 935/713, 894/506 is

LCM of Numerators i.e. for 89,935,894 is 74394210

GCF of denominators i.e. for 596,713,506 is 1.

Thus, LCM of Fractions is 74394210.Finally, LCM of Fractions for 89/596, 935/713, 894/506 is 74394210.