Least Common Multiple of 836/64, 245/74, 324/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/64, 245/74, 324/514 quickly i.e. 8295210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/64, 245/74, 324/514 is 8295210.

LCM(836/64, 245/74, 324/514) = 8295210

LCM of 836/64, 245/74, 324/514

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 836/64,245/74,324/514

Given numbers are 836/64,245/74,324/514

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 836,245,324

Least Common Multiple of Numerators i.e. LCM of 836,245,324 is 16590420.

GCF of Denominators means GCF of 64,74,514 as per the given fractions.

GCF of 64,74,514 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,245,324

LCM of Fractions 836/64,245/74,324/514 is 8295210

2 836, 245, 324
2 418, 245, 162
209, 245, 81

∴ So the LCM of the given numbers is 2 x 2 x 209 x 245 x 81 = 16590420

Least Common Multiple of 836,245,324 with GCF Formula

Least Common Multiple of 836,245,324 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 836,245,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,245,324) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(836,245,324) x common factors =1 x 4 = 4

LCM(836,245,324) = ( 836 × 245 × 324 ) / 4

LCM(836,245,324) = 66361680 / 4

LCM(836,245,324) = 16590420


Lets's calculate GCF of 64,74,514

2 64, 74, 514
32, 37, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16590420/2

Therefore the LCM of Fractions 836/64,245/74,324/514 is 8295210

Greatest Common Factor of 64,74,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,74,514 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 64,74,514 . The biggest common factor number is the GCF number.
So the greatest common factor 64,74,514 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 836/64, 245/74, 324/514

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 836/64, 245/74, 324/514?

Answer: LCM of Numerators as per given numbers 836/64, 245/74, 324/514 is

LCM of Numerators i.e. for 836,245,324 is 16590420

GCF of denominators i.e. for 64,74,514 is 2.

Thus, LCM of Fractions is 8295210.Finally, LCM of Fractions for 836/64, 245/74, 324/514 is 8295210.