Least Common Multiple of 7228/251, 8000/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7228/251, 8000/784 quickly i.e. 14456000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7228/251, 8000/784 is 14456000.

LCM(7228/251, 8000/784) = 14456000

LCM of 7228/251, 8000/784

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 7228/251,8000/784

Given numbers are 7228/251,8000/784

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 7228,8000

Least Common Multiple of Numerators i.e. LCM of 7228,8000 is 14456000.

GCF of Denominators means GCF of 251,784 as per the given fractions.

GCF of 251,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7228,8000

LCM of Fractions 7228/251,8000/784 is 14456000

2 7228, 8000
2 3614, 4000
1807, 2000

∴ So the LCM of the given numbers is 2 x 2 x 1807 x 2000 = 14456000

Least Common Multiple of 7228,8000 with GCF Formula

Least Common Multiple of 7228,8000 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 7228,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7228,8000) = 4

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

GCF(7228,8000) x common factors =4 x 1 = 4

LCM(7228,8000) = ( 7228 × 8000 ) / 4

LCM(7228,8000) = 57824000 / 4

LCM(7228,8000) = 14456000


Lets's calculate GCF of 251,784

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14456000/1

Therefore the LCM of Fractions 7228/251,8000/784 is 14456000

Greatest Common Factor of 251,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,784 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 251,784 . The biggest common factor number is the GCF number.
So the greatest common factor 251,784 is 1.


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 7228/251, 8000/784

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 7228/251, 8000/784?

Answer: LCM of Numerators as per given numbers 7228/251, 8000/784 is

LCM of Numerators i.e. for 7228,8000 is 14456000

GCF of denominators i.e. for 251,784 is 1.

Thus, LCM of Fractions is 14456000.Finally, LCM of Fractions for 7228/251, 8000/784 is 14456000.