Least Common Multiple of 730/84, 674/4296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/84, 674/4296 quickly i.e. 246010/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/84, 674/4296 is 246010/12.

LCM(730/84, 674/4296) = 246010/12

LCM of 730/84, 674/4296

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 730/84,674/4296

Given numbers are 730/84,674/4296

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 730,674

Least Common Multiple of Numerators i.e. LCM of 730,674 is 246010.

GCF of Denominators means GCF of 84,4296 as per the given fractions.

GCF of 84,4296 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,674

LCM of Fractions 730/84,674/4296 is 246010/12

2 730, 674
365, 337

∴ So the LCM of the given numbers is 2 x 365 x 337 = 246010

Least Common Multiple of 730,674 with GCF Formula

Least Common Multiple of 730,674 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 730,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,674) = 2

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

GCF(730,674) x common factors =2 x 1 = 2

LCM(730,674) = ( 730 × 674 ) / 2

LCM(730,674) = 492020 / 2

LCM(730,674) = 246010


Lets's calculate GCF of 84,4296

2 84, 4296
2 42, 2148
3 21, 1074
7, 358

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246010/12

Therefore the LCM of Fractions 730/84,674/4296 is 246010/12

Greatest Common Factor of 84,4296 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,4296 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 4296

List of positive integer factors of 4296 that divides 4296 without a remainder.

1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296

Greatest Common Factor

We found the factors 84,4296 . The biggest common factor number is the GCF number.
So the greatest common factor 84,4296 is 12.


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 730/84, 674/4296

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 730/84, 674/4296?

Answer: LCM of Numerators as per given numbers 730/84, 674/4296 is

LCM of Numerators i.e. for 730,674 is 246010

GCF of denominators i.e. for 84,4296 is 12.

Thus, LCM of Fractions is 246010/12.Finally, LCM of Fractions for 730/84, 674/4296 is 246010/12.