Least Common Multiple of 838/308, 302/160, 710/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/308, 302/160, 710/566 quickly i.e. 22460495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/308, 302/160, 710/566 is 22460495.

LCM(838/308, 302/160, 710/566) = 22460495

LCM of 838/308, 302/160, 710/566

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 838/308,302/160,710/566

Given numbers are 838/308,302/160,710/566

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 838,302,710

Least Common Multiple of Numerators i.e. LCM of 838,302,710 is 44920990.

GCF of Denominators means GCF of 308,160,566 as per the given fractions.

GCF of 308,160,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,302,710

LCM of Fractions 838/308,302/160,710/566 is 22460495

2 838, 302, 710
419, 151, 355

∴ So the LCM of the given numbers is 2 x 419 x 151 x 355 = 44920990

Least Common Multiple of 838,302,710 with GCF Formula

Least Common Multiple of 838,302,710 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 838,302,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,302,710) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(838,302,710) x common factors =2 x 2 = 4

LCM(838,302,710) = ( 838 × 302 × 710 ) / 4

LCM(838,302,710) = 179683960 / 4

LCM(838,302,710) = 44920990


Lets's calculate GCF of 308,160,566

2 308, 160, 566
154, 80, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44920990/2

Therefore the LCM of Fractions 838/308,302/160,710/566 is 22460495

Greatest Common Factor of 308,160,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,160,566 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 308,160,566 . The biggest common factor number is the GCF number.
So the greatest common factor 308,160,566 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 838/308, 302/160, 710/566

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 838/308, 302/160, 710/566?

Answer: LCM of Numerators as per given numbers 838/308, 302/160, 710/566 is

LCM of Numerators i.e. for 838,302,710 is 44920990

GCF of denominators i.e. for 308,160,566 is 2.

Thus, LCM of Fractions is 22460495.Finally, LCM of Fractions for 838/308, 302/160, 710/566 is 22460495.