Least Common Multiple of 3967/452, 9055/2800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3967/452, 9055/2800 quickly i.e. 35921185/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3967/452, 9055/2800 is 35921185/4.

LCM(3967/452, 9055/2800) = 35921185/4

LCM of 3967/452, 9055/2800

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 3967/452,9055/2800

Given numbers are 3967/452,9055/2800

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 3967,9055

Least Common Multiple of Numerators i.e. LCM of 3967,9055 is 35921185.

GCF of Denominators means GCF of 452,2800 as per the given fractions.

GCF of 452,2800 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3967,9055

LCM of Fractions 3967/452,9055/2800 is 35921185/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 35921185

Least Common Multiple of 3967,9055 with GCF Formula

Least Common Multiple of 3967,9055 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 3967,9055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3967,9055) = 1

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

GCF(3967,9055) x common factors =1 x 1 = 1

LCM(3967,9055) = ( 3967 × 9055 ) / 1

LCM(3967,9055) = 35921185 / 1

LCM(3967,9055) = 35921185


Lets's calculate GCF of 452,2800

2 452, 2800
2 226, 1400
113, 700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35921185/4

Therefore the LCM of Fractions 3967/452,9055/2800 is 35921185/4

Greatest Common Factor of 452,2800 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,2800 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,35,40,50,56,70,80,100,112,140,175,200,280,350,400,560,700,1400,2800

Greatest Common Factor

We found the factors 452,2800 . The biggest common factor number is the GCF number.
So the greatest common factor 452,2800 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 3967/452, 9055/2800

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 3967/452, 9055/2800?

Answer: LCM of Numerators as per given numbers 3967/452, 9055/2800 is

LCM of Numerators i.e. for 3967,9055 is 35921185

GCF of denominators i.e. for 452,2800 is 4.

Thus, LCM of Fractions is 35921185/4.Finally, LCM of Fractions for 3967/452, 9055/2800 is 35921185/4.