Least Common Multiple of 730/59, 814/8412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/59, 814/8412 quickly i.e. 297110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/59, 814/8412 is 297110.

LCM(730/59, 814/8412) = 297110

LCM of 730/59, 814/8412

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 730/59,814/8412

Given numbers are 730/59,814/8412

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 730,814

Least Common Multiple of Numerators i.e. LCM of 730,814 is 297110.

GCF of Denominators means GCF of 59,8412 as per the given fractions.

GCF of 59,8412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,814

LCM of Fractions 730/59,814/8412 is 297110

2 730, 814
365, 407

∴ So the LCM of the given numbers is 2 x 365 x 407 = 297110

Least Common Multiple of 730,814 with GCF Formula

Least Common Multiple of 730,814 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 730,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,814) = 2

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

GCF(730,814) x common factors =2 x 1 = 2

LCM(730,814) = ( 730 × 814 ) / 2

LCM(730,814) = 594220 / 2

LCM(730,814) = 297110


Lets's calculate GCF of 59,8412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297110/1

Therefore the LCM of Fractions 730/59,814/8412 is 297110

Greatest Common Factor of 59,8412 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,8412 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 59,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 59,8412 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 730/59, 814/8412

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 730/59, 814/8412?

Answer: LCM of Numerators as per given numbers 730/59, 814/8412 is

LCM of Numerators i.e. for 730,814 is 297110

GCF of denominators i.e. for 59,8412 is 1.

Thus, LCM of Fractions is 297110.Finally, LCM of Fractions for 730/59, 814/8412 is 297110.