Least Common Multiple of 690/74, 571/64, 216/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/74, 571/64, 216/838 quickly i.e. 7091820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/74, 571/64, 216/838 is 7091820.

LCM(690/74, 571/64, 216/838) = 7091820

LCM of 690/74, 571/64, 216/838

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 690/74,571/64,216/838

Given numbers are 690/74,571/64,216/838

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 690,571,216

Least Common Multiple of Numerators i.e. LCM of 690,571,216 is 14183640.

GCF of Denominators means GCF of 74,64,838 as per the given fractions.

GCF of 74,64,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,571,216

LCM of Fractions 690/74,571/64,216/838 is 7091820

2 690, 571, 216
3 345, 571, 108
115, 571, 36

∴ So the LCM of the given numbers is 2 x 3 x 115 x 571 x 36 = 14183640

Least Common Multiple of 690,571,216 with GCF Formula

Least Common Multiple of 690,571,216 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 690,571,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,571,216) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(690,571,216) x common factors =1 x 6 = 6

LCM(690,571,216) = ( 690 × 571 × 216 ) / 6

LCM(690,571,216) = 85101840 / 6

LCM(690,571,216) = 14183640


Lets's calculate GCF of 74,64,838

2 74, 64, 838
37, 32, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14183640/2

Therefore the LCM of Fractions 690/74,571/64,216/838 is 7091820

Greatest Common Factor of 74,64,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,64,838 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

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 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 74,64,838 . The biggest common factor number is the GCF number.
So the greatest common factor 74,64,838 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 690/74, 571/64, 216/838

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 690/74, 571/64, 216/838?

Answer: LCM of Numerators as per given numbers 690/74, 571/64, 216/838 is

LCM of Numerators i.e. for 690,571,216 is 14183640

GCF of denominators i.e. for 74,64,838 is 2.

Thus, LCM of Fractions is 7091820.Finally, LCM of Fractions for 690/74, 571/64, 216/838 is 7091820.