Least Common Multiple of 308/600, 3364/4670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/600, 3364/4670 quickly i.e. 259028/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/600, 3364/4670 is 259028/10.

LCM(308/600, 3364/4670) = 259028/10

LCM of 308/600, 3364/4670

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 308/600,3364/4670

Given numbers are 308/600,3364/4670

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 308,3364

Least Common Multiple of Numerators i.e. LCM of 308,3364 is 259028.

GCF of Denominators means GCF of 600,4670 as per the given fractions.

GCF of 600,4670 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,3364

LCM of Fractions 308/600,3364/4670 is 259028/10

2 308, 3364
2 154, 1682
77, 841

∴ So the LCM of the given numbers is 2 x 2 x 77 x 841 = 259028

Least Common Multiple of 308,3364 with GCF Formula

Least Common Multiple of 308,3364 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 308,3364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,3364) = 4

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

GCF(308,3364) x common factors =4 x 1 = 4

LCM(308,3364) = ( 308 × 3364 ) / 4

LCM(308,3364) = 1036112 / 4

LCM(308,3364) = 259028


Lets's calculate GCF of 600,4670

2 600, 4670
5 300, 2335
60, 467

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259028/10

Therefore the LCM of Fractions 308/600,3364/4670 is 259028/10

Greatest Common Factor of 600,4670 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,4670 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 4670

List of positive integer factors of 4670 that divides 4670 without a remainder.

1,2,5,10,467,934,2335,4670

Greatest Common Factor

We found the factors 600,4670 . The biggest common factor number is the GCF number.
So the greatest common factor 600,4670 is 10.


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 308/600, 3364/4670

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 308/600, 3364/4670?

Answer: LCM of Numerators as per given numbers 308/600, 3364/4670 is

LCM of Numerators i.e. for 308,3364 is 259028

GCF of denominators i.e. for 600,4670 is 10.

Thus, LCM of Fractions is 259028/10.Finally, LCM of Fractions for 308/600, 3364/4670 is 259028/10.