Least Common Multiple of 434/374, 4781/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/374, 4781/803 quickly i.e. 296422/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/374, 4781/803 is 296422/11.

LCM(434/374, 4781/803) = 296422/11

LCM of 434/374, 4781/803

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 434/374,4781/803

Given numbers are 434/374,4781/803

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 434,4781

Least Common Multiple of Numerators i.e. LCM of 434,4781 is 296422.

GCF of Denominators means GCF of 374,803 as per the given fractions.

GCF of 374,803 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,4781

LCM of Fractions 434/374,4781/803 is 296422/11

7 434, 4781
62, 683

∴ So the LCM of the given numbers is 7 x 62 x 683 = 296422

Least Common Multiple of 434,4781 with GCF Formula

Least Common Multiple of 434,4781 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 434,4781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,4781) = 7

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

GCF(434,4781) x common factors =7 x 1 = 7

LCM(434,4781) = ( 434 × 4781 ) / 7

LCM(434,4781) = 2074954 / 7

LCM(434,4781) = 296422


Lets's calculate GCF of 374,803

11 374, 803
34, 73

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296422/11

Therefore the LCM of Fractions 434/374,4781/803 is 296422/11

Greatest Common Factor of 374,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,803 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 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 374,803 . The biggest common factor number is the GCF number.
So the greatest common factor 374,803 is 11.


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 434/374, 4781/803

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 434/374, 4781/803?

Answer: LCM of Numerators as per given numbers 434/374, 4781/803 is

LCM of Numerators i.e. for 434,4781 is 296422

GCF of denominators i.e. for 374,803 is 11.

Thus, LCM of Fractions is 296422/11.Finally, LCM of Fractions for 434/374, 4781/803 is 296422/11.