Least Common Multiple of 4768/94, 7300/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4768/94, 7300/340 quickly i.e. 4350800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4768/94, 7300/340 is 4350800.

LCM(4768/94, 7300/340) = 4350800

LCM of 4768/94, 7300/340

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 4768/94,7300/340

Given numbers are 4768/94,7300/340

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 4768,7300

Least Common Multiple of Numerators i.e. LCM of 4768,7300 is 8701600.

GCF of Denominators means GCF of 94,340 as per the given fractions.

GCF of 94,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4768,7300

LCM of Fractions 4768/94,7300/340 is 4350800

2 4768, 7300
2 2384, 3650
1192, 1825

∴ So the LCM of the given numbers is 2 x 2 x 1192 x 1825 = 8701600

Least Common Multiple of 4768,7300 with GCF Formula

Least Common Multiple of 4768,7300 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 4768,7300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4768,7300) = 4

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

GCF(4768,7300) x common factors =4 x 1 = 4

LCM(4768,7300) = ( 4768 × 7300 ) / 4

LCM(4768,7300) = 34806400 / 4

LCM(4768,7300) = 8701600


Lets's calculate GCF of 94,340

2 94, 340
47, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8701600/2

Therefore the LCM of Fractions 4768/94,7300/340 is 4350800

Greatest Common Factor of 94,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,340 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 94,340 . The biggest common factor number is the GCF number.
So the greatest common factor 94,340 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 4768/94, 7300/340

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 4768/94, 7300/340?

Answer: LCM of Numerators as per given numbers 4768/94, 7300/340 is

LCM of Numerators i.e. for 4768,7300 is 8701600

GCF of denominators i.e. for 94,340 is 2.

Thus, LCM of Fractions is 4350800.Finally, LCM of Fractions for 4768/94, 7300/340 is 4350800.