Least Common Multiple of 4203/374, 9742/9398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4203/374, 9742/9398 quickly i.e. 20472813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4203/374, 9742/9398 is 20472813.

LCM(4203/374, 9742/9398) = 20472813

LCM of 4203/374, 9742/9398

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 4203/374,9742/9398

Given numbers are 4203/374,9742/9398

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 4203,9742

Least Common Multiple of Numerators i.e. LCM of 4203,9742 is 40945626.

GCF of Denominators means GCF of 374,9398 as per the given fractions.

GCF of 374,9398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4203,9742

LCM of Fractions 4203/374,9742/9398 is 20472813

Given numbers has no common factors except 1. So, there LCM is their product i.e 40945626

Least Common Multiple of 4203,9742 with GCF Formula

Least Common Multiple of 4203,9742 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 4203,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4203,9742) = 1

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

GCF(4203,9742) x common factors =1 x 1 = 1

LCM(4203,9742) = ( 4203 × 9742 ) / 1

LCM(4203,9742) = 40945626 / 1

LCM(4203,9742) = 40945626


Lets's calculate GCF of 374,9398

2 374, 9398
187, 4699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40945626/2

Therefore the LCM of Fractions 4203/374,9742/9398 is 20472813

Greatest Common Factor of 374,9398 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,9398 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 9398

List of positive integer factors of 9398 that divides 9398 without a remainder.

1,2,37,74,127,254,4699,9398

Greatest Common Factor

We found the factors 374,9398 . The biggest common factor number is the GCF number.
So the greatest common factor 374,9398 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 4203/374, 9742/9398

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 4203/374, 9742/9398?

Answer: LCM of Numerators as per given numbers 4203/374, 9742/9398 is

LCM of Numerators i.e. for 4203,9742 is 40945626

GCF of denominators i.e. for 374,9398 is 2.

Thus, LCM of Fractions is 20472813.Finally, LCM of Fractions for 4203/374, 9742/9398 is 20472813.