Least Common Multiple of 267/48, 3715/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/48, 3715/219 quickly i.e. 330635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/48, 3715/219 is 330635.

LCM(267/48, 3715/219) = 330635

LCM of 267/48, 3715/219

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 267/48,3715/219

Given numbers are 267/48,3715/219

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 267,3715

Least Common Multiple of Numerators i.e. LCM of 267,3715 is 991905.

GCF of Denominators means GCF of 48,219 as per the given fractions.

GCF of 48,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,3715

LCM of Fractions 267/48,3715/219 is 330635

Given numbers has no common factors except 1. So, there LCM is their product i.e 991905

Least Common Multiple of 267,3715 with GCF Formula

Least Common Multiple of 267,3715 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 267,3715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,3715) = 1

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

GCF(267,3715) x common factors =1 x 1 = 1

LCM(267,3715) = ( 267 × 3715 ) / 1

LCM(267,3715) = 991905 / 1

LCM(267,3715) = 991905


Lets's calculate GCF of 48,219

3 48, 219
16, 73

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991905/3

Therefore the LCM of Fractions 267/48,3715/219 is 330635

Greatest Common Factor of 48,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,219 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 48,219 . The biggest common factor number is the GCF number.
So the greatest common factor 48,219 is 3.


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 267/48, 3715/219

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 267/48, 3715/219?

Answer: LCM of Numerators as per given numbers 267/48, 3715/219 is

LCM of Numerators i.e. for 267,3715 is 991905

GCF of denominators i.e. for 48,219 is 3.

Thus, LCM of Fractions is 330635.Finally, LCM of Fractions for 267/48, 3715/219 is 330635.