Least Common Multiple of 4579/974, 3703/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4579/974, 3703/700 quickly i.e. 16956037/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4579/974, 3703/700 is 16956037/2.

LCM(4579/974, 3703/700) = 16956037/2

LCM of 4579/974, 3703/700

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 4579/974,3703/700

Given numbers are 4579/974,3703/700

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 4579,3703

Least Common Multiple of Numerators i.e. LCM of 4579,3703 is 16956037.

GCF of Denominators means GCF of 974,700 as per the given fractions.

GCF of 974,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4579,3703

LCM of Fractions 4579/974,3703/700 is 16956037/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16956037

Least Common Multiple of 4579,3703 with GCF Formula

Least Common Multiple of 4579,3703 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 4579,3703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4579,3703) = 1

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

GCF(4579,3703) x common factors =1 x 1 = 1

LCM(4579,3703) = ( 4579 × 3703 ) / 1

LCM(4579,3703) = 16956037 / 1

LCM(4579,3703) = 16956037


Lets's calculate GCF of 974,700

2 974, 700
487, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16956037/2

Therefore the LCM of Fractions 4579/974,3703/700 is 16956037/2

Greatest Common Factor of 974,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,700 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 974,700 . The biggest common factor number is the GCF number.
So the greatest common factor 974,700 is 2.


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 4579/974, 3703/700

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 4579/974, 3703/700?

Answer: LCM of Numerators as per given numbers 4579/974, 3703/700 is

LCM of Numerators i.e. for 4579,3703 is 16956037

GCF of denominators i.e. for 974,700 is 2.

Thus, LCM of Fractions is 16956037/2.Finally, LCM of Fractions for 4579/974, 3703/700 is 16956037/2.