Least Common Multiple of 4736/730, 4851/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4736/730, 4851/674 quickly i.e. 11487168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4736/730, 4851/674 is 11487168.

LCM(4736/730, 4851/674) = 11487168

LCM of 4736/730, 4851/674

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 4736/730,4851/674

Given numbers are 4736/730,4851/674

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 4736,4851

Least Common Multiple of Numerators i.e. LCM of 4736,4851 is 22974336.

GCF of Denominators means GCF of 730,674 as per the given fractions.

GCF of 730,674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4736,4851

LCM of Fractions 4736/730,4851/674 is 11487168

Given numbers has no common factors except 1. So, there LCM is their product i.e 22974336

Least Common Multiple of 4736,4851 with GCF Formula

Least Common Multiple of 4736,4851 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 4736,4851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4736,4851) = 1

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

GCF(4736,4851) x common factors =1 x 1 = 1

LCM(4736,4851) = ( 4736 × 4851 ) / 1

LCM(4736,4851) = 22974336 / 1

LCM(4736,4851) = 22974336


Lets's calculate GCF of 730,674

2 730, 674
365, 337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22974336/2

Therefore the LCM of Fractions 4736/730,4851/674 is 11487168

Greatest Common Factor of 730,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,674 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 730,674 . The biggest common factor number is the GCF number.
So the greatest common factor 730,674 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4736/730, 4851/674

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 4736/730, 4851/674?

Answer: LCM of Numerators as per given numbers 4736/730, 4851/674 is

LCM of Numerators i.e. for 4736,4851 is 22974336

GCF of denominators i.e. for 730,674 is 2.

Thus, LCM of Fractions is 11487168.Finally, LCM of Fractions for 4736/730, 4851/674 is 11487168.