Least Common Multiple of 80/614, 299/294, 775/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/614, 299/294, 775/624 quickly i.e. 1853800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/614, 299/294, 775/624 is 1853800.

LCM(80/614, 299/294, 775/624) = 1853800

LCM of 80/614, 299/294, 775/624

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 80/614,299/294,775/624

Given numbers are 80/614,299/294,775/624

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 80,299,775

Least Common Multiple of Numerators i.e. LCM of 80,299,775 is 3707600.

GCF of Denominators means GCF of 614,294,624 as per the given fractions.

GCF of 614,294,624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,299,775

LCM of Fractions 80/614,299/294,775/624 is 1853800

5 80, 299, 775
16, 299, 155

∴ So the LCM of the given numbers is 5 x 16 x 299 x 155 = 3707600

Least Common Multiple of 80,299,775 with GCF Formula

Least Common Multiple of 80,299,775 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 80,299,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,299,775) = 1

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

GCF(80,299,775) x common factors =1 x 5 = 5

LCM(80,299,775) = ( 80 × 299 × 775 ) / 5

LCM(80,299,775) = 18538000 / 5

LCM(80,299,775) = 3707600


Lets's calculate GCF of 614,294,624

2 614, 294, 624
307, 147, 312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3707600/2

Therefore the LCM of Fractions 80/614,299/294,775/624 is 1853800

Greatest Common Factor of 614,294,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,294,624 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

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

Greatest Common Factor

We found the factors 614,294,624 . The biggest common factor number is the GCF number.
So the greatest common factor 614,294,624 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 80/614, 299/294, 775/624

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 80/614, 299/294, 775/624?

Answer: LCM of Numerators as per given numbers 80/614, 299/294, 775/624 is

LCM of Numerators i.e. for 80,299,775 is 3707600

GCF of denominators i.e. for 614,294,624 is 2.

Thus, LCM of Fractions is 1853800.Finally, LCM of Fractions for 80/614, 299/294, 775/624 is 1853800.