Least Common Multiple of 4215/68, 4748/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4215/68, 4748/308 quickly i.e. 5003205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4215/68, 4748/308 is 5003205.

LCM(4215/68, 4748/308) = 5003205

LCM of 4215/68, 4748/308

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 4215/68,4748/308

Given numbers are 4215/68,4748/308

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 4215,4748

Least Common Multiple of Numerators i.e. LCM of 4215,4748 is 20012820.

GCF of Denominators means GCF of 68,308 as per the given fractions.

GCF of 68,308 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4215,4748

LCM of Fractions 4215/68,4748/308 is 5003205

Given numbers has no common factors except 1. So, there LCM is their product i.e 20012820

Least Common Multiple of 4215,4748 with GCF Formula

Least Common Multiple of 4215,4748 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 4215,4748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4215,4748) = 1

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

GCF(4215,4748) x common factors =1 x 1 = 1

LCM(4215,4748) = ( 4215 × 4748 ) / 1

LCM(4215,4748) = 20012820 / 1

LCM(4215,4748) = 20012820


Lets's calculate GCF of 68,308

2 68, 308
2 34, 154
17, 77

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20012820/4

Therefore the LCM of Fractions 4215/68,4748/308 is 5003205

Greatest Common Factor of 68,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,308 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 68,308 . The biggest common factor number is the GCF number.
So the greatest common factor 68,308 is 4.


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 4215/68, 4748/308

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 4215/68, 4748/308?

Answer: LCM of Numerators as per given numbers 4215/68, 4748/308 is

LCM of Numerators i.e. for 4215,4748 is 20012820

GCF of denominators i.e. for 68,308 is 4.

Thus, LCM of Fractions is 5003205.Finally, LCM of Fractions for 4215/68, 4748/308 is 5003205.