Least Common Multiple of 834/52, 440/2412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 834/52, 440/2412 quickly i.e. 45870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/52, 440/2412 is 45870.

LCM(834/52, 440/2412) = 45870

LCM of 834/52, 440/2412

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 834/52,440/2412

Given numbers are 834/52,440/2412

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 834,440

Least Common Multiple of Numerators i.e. LCM of 834,440 is 183480.

GCF of Denominators means GCF of 52,2412 as per the given fractions.

GCF of 52,2412 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,440

LCM of Fractions 834/52,440/2412 is 45870

2 834, 440
417, 220

∴ So the LCM of the given numbers is 2 x 417 x 220 = 183480

Least Common Multiple of 834,440 with GCF Formula

Least Common Multiple of 834,440 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 834,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,440) = 2

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

GCF(834,440) x common factors =2 x 1 = 2

LCM(834,440) = ( 834 × 440 ) / 2

LCM(834,440) = 366960 / 2

LCM(834,440) = 183480


Lets's calculate GCF of 52,2412

2 52, 2412
2 26, 1206
13, 603

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183480/4

Therefore the LCM of Fractions 834/52,440/2412 is 45870

Greatest Common Factor of 52,2412 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,2412 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Greatest Common Factor

We found the factors 52,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 52,2412 is 4.


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Frequently Asked Questions on Fractional LCM of 834/52, 440/2412

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 834/52, 440/2412?

Answer: LCM of Numerators as per given numbers 834/52, 440/2412 is

LCM of Numerators i.e. for 834,440 is 183480

GCF of denominators i.e. for 52,2412 is 4.

Thus, LCM of Fractions is 45870.Finally, LCM of Fractions for 834/52, 440/2412 is 45870.