Least Common Multiple of 2248/684, 4733/4975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2248/684, 4733/4975 quickly i.e. 10639784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2248/684, 4733/4975 is 10639784.

LCM(2248/684, 4733/4975) = 10639784

LCM of 2248/684, 4733/4975

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 2248/684,4733/4975

Given numbers are 2248/684,4733/4975

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 2248,4733

Least Common Multiple of Numerators i.e. LCM of 2248,4733 is 10639784.

GCF of Denominators means GCF of 684,4975 as per the given fractions.

GCF of 684,4975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2248,4733

LCM of Fractions 2248/684,4733/4975 is 10639784

Given numbers has no common factors except 1. So, there LCM is their product i.e 10639784

Least Common Multiple of 2248,4733 with GCF Formula

Least Common Multiple of 2248,4733 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 2248,4733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2248,4733) = 1

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

GCF(2248,4733) x common factors =1 x 1 = 1

LCM(2248,4733) = ( 2248 × 4733 ) / 1

LCM(2248,4733) = 10639784 / 1

LCM(2248,4733) = 10639784


Lets's calculate GCF of 684,4975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10639784/1

Therefore the LCM of Fractions 2248/684,4733/4975 is 10639784

Greatest Common Factor of 684,4975 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,4975 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 4975

List of positive integer factors of 4975 that divides 4975 without a remainder.

1,5,25,199,995,4975

Greatest Common Factor

We found the factors 684,4975 . The biggest common factor number is the GCF number.
So the greatest common factor 684,4975 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 2248/684, 4733/4975

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 2248/684, 4733/4975?

Answer: LCM of Numerators as per given numbers 2248/684, 4733/4975 is

LCM of Numerators i.e. for 2248,4733 is 10639784

GCF of denominators i.e. for 684,4975 is 1.

Thus, LCM of Fractions is 10639784.Finally, LCM of Fractions for 2248/684, 4733/4975 is 10639784.