Least Common Multiple of 4378/465, 3075/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4378/465, 3075/708 quickly i.e. 4487450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4378/465, 3075/708 is 4487450.

LCM(4378/465, 3075/708) = 4487450

LCM of 4378/465, 3075/708

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 4378/465,3075/708

Given numbers are 4378/465,3075/708

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 4378,3075

Least Common Multiple of Numerators i.e. LCM of 4378,3075 is 13462350.

GCF of Denominators means GCF of 465,708 as per the given fractions.

GCF of 465,708 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4378,3075

LCM of Fractions 4378/465,3075/708 is 4487450

Given numbers has no common factors except 1. So, there LCM is their product i.e 13462350

Least Common Multiple of 4378,3075 with GCF Formula

Least Common Multiple of 4378,3075 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 4378,3075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4378,3075) = 1

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

GCF(4378,3075) x common factors =1 x 1 = 1

LCM(4378,3075) = ( 4378 × 3075 ) / 1

LCM(4378,3075) = 13462350 / 1

LCM(4378,3075) = 13462350


Lets's calculate GCF of 465,708

3 465, 708
155, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13462350/3

Therefore the LCM of Fractions 4378/465,3075/708 is 4487450

Greatest Common Factor of 465,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,708 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 465,708 . The biggest common factor number is the GCF number.
So the greatest common factor 465,708 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 4378/465, 3075/708

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 4378/465, 3075/708?

Answer: LCM of Numerators as per given numbers 4378/465, 3075/708 is

LCM of Numerators i.e. for 4378,3075 is 13462350

GCF of denominators i.e. for 465,708 is 3.

Thus, LCM of Fractions is 4487450.Finally, LCM of Fractions for 4378/465, 3075/708 is 4487450.