Least Common Multiple of 94/624, 65/746, 568/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/624, 65/746, 568/344 quickly i.e. 867620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/624, 65/746, 568/344 is 867620.

LCM(94/624, 65/746, 568/344) = 867620

LCM of 94/624, 65/746, 568/344

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 94/624,65/746,568/344

Given numbers are 94/624,65/746,568/344

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 94,65,568

Least Common Multiple of Numerators i.e. LCM of 94,65,568 is 1735240.

GCF of Denominators means GCF of 624,746,344 as per the given fractions.

GCF of 624,746,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,65,568

LCM of Fractions 94/624,65/746,568/344 is 867620

2 94, 65, 568
47, 65, 284

∴ So the LCM of the given numbers is 2 x 47 x 65 x 284 = 1735240

Least Common Multiple of 94,65,568 with GCF Formula

Least Common Multiple of 94,65,568 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 94,65,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,65,568) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,65,568) x common factors =1 x 2 = 2

LCM(94,65,568) = ( 94 × 65 × 568 ) / 2

LCM(94,65,568) = 3470480 / 2

LCM(94,65,568) = 1735240


Lets's calculate GCF of 624,746,344

2 624, 746, 344
312, 373, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1735240/2

Therefore the LCM of Fractions 94/624,65/746,568/344 is 867620

Greatest Common Factor of 624,746,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,746,344 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 624,746,344 . The biggest common factor number is the GCF number.
So the greatest common factor 624,746,344 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 94/624, 65/746, 568/344

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 94/624, 65/746, 568/344?

Answer: LCM of Numerators as per given numbers 94/624, 65/746, 568/344 is

LCM of Numerators i.e. for 94,65,568 is 1735240

GCF of denominators i.e. for 624,746,344 is 2.

Thus, LCM of Fractions is 867620.Finally, LCM of Fractions for 94/624, 65/746, 568/344 is 867620.