Least Common Multiple of 459/35, 737/5412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/35, 737/5412 quickly i.e. 338283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/35, 737/5412 is 338283.

LCM(459/35, 737/5412) = 338283

LCM of 459/35, 737/5412

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 459/35,737/5412

Given numbers are 459/35,737/5412

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 459,737

Least Common Multiple of Numerators i.e. LCM of 459,737 is 338283.

GCF of Denominators means GCF of 35,5412 as per the given fractions.

GCF of 35,5412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,737

LCM of Fractions 459/35,737/5412 is 338283

Given numbers has no common factors except 1. So, there LCM is their product i.e 338283

Least Common Multiple of 459,737 with GCF Formula

Least Common Multiple of 459,737 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 459,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,737) = 1

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

GCF(459,737) x common factors =1 x 1 = 1

LCM(459,737) = ( 459 × 737 ) / 1

LCM(459,737) = 338283 / 1

LCM(459,737) = 338283


Lets's calculate GCF of 35,5412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338283/1

Therefore the LCM of Fractions 459/35,737/5412 is 338283

Greatest Common Factor of 35,5412 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,5412 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412

Greatest Common Factor

We found the factors 35,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 35,5412 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 459/35, 737/5412

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 459/35, 737/5412?

Answer: LCM of Numerators as per given numbers 459/35, 737/5412 is

LCM of Numerators i.e. for 459,737 is 338283

GCF of denominators i.e. for 35,5412 is 1.

Thus, LCM of Fractions is 338283.Finally, LCM of Fractions for 459/35, 737/5412 is 338283.