Least Common Multiple of 834/40, 280/5432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/40, 280/5432 quickly i.e. 14595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/40, 280/5432 is 14595.

LCM(834/40, 280/5432) = 14595

LCM of 834/40, 280/5432

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 834/40,280/5432

Given numbers are 834/40,280/5432

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 834,280

Least Common Multiple of Numerators i.e. LCM of 834,280 is 116760.

GCF of Denominators means GCF of 40,5432 as per the given fractions.

GCF of 40,5432 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,280

LCM of Fractions 834/40,280/5432 is 14595

2 834, 280
417, 140

∴ So the LCM of the given numbers is 2 x 417 x 140 = 116760

Least Common Multiple of 834,280 with GCF Formula

Least Common Multiple of 834,280 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 834,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,280) = 2

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

GCF(834,280) x common factors =2 x 1 = 2

LCM(834,280) = ( 834 × 280 ) / 2

LCM(834,280) = 233520 / 2

LCM(834,280) = 116760


Lets's calculate GCF of 40,5432

2 40, 5432
2 20, 2716
2 10, 1358
5, 679

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116760/8

Therefore the LCM of Fractions 834/40,280/5432 is 14595

Greatest Common Factor of 40,5432 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5432 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432

Greatest Common Factor

We found the factors 40,5432 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5432 is 8.


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 834/40, 280/5432

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 834/40, 280/5432?

Answer: LCM of Numerators as per given numbers 834/40, 280/5432 is

LCM of Numerators i.e. for 834,280 is 116760

GCF of denominators i.e. for 40,5432 is 8.

Thus, LCM of Fractions is 14595.Finally, LCM of Fractions for 834/40, 280/5432 is 14595.