Least Common Multiple of 838/62, 296/72, 622/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/62, 296/72, 622/685 quickly i.e. 38571464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/62, 296/72, 622/685 is 38571464.

LCM(838/62, 296/72, 622/685) = 38571464

LCM of 838/62, 296/72, 622/685

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 838/62,296/72,622/685

Given numbers are 838/62,296/72,622/685

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 838,296,622

Least Common Multiple of Numerators i.e. LCM of 838,296,622 is 38571464.

GCF of Denominators means GCF of 62,72,685 as per the given fractions.

GCF of 62,72,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,296,622

LCM of Fractions 838/62,296/72,622/685 is 38571464

2 838, 296, 622
419, 148, 311

∴ So the LCM of the given numbers is 2 x 419 x 148 x 311 = 38571464

Least Common Multiple of 838,296,622 with GCF Formula

Least Common Multiple of 838,296,622 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 838,296,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,296,622) = 2

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

GCF(838,296,622) x common factors =2 x 2 = 4

LCM(838,296,622) = ( 838 × 296 × 622 ) / 4

LCM(838,296,622) = 154285856 / 4

LCM(838,296,622) = 38571464


Lets's calculate GCF of 62,72,685

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38571464/1

Therefore the LCM of Fractions 838/62,296/72,622/685 is 38571464

Greatest Common Factor of 62,72,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,72,685 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 62,72,685 . The biggest common factor number is the GCF number.
So the greatest common factor 62,72,685 is 1.


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 838/62, 296/72, 622/685

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 838/62, 296/72, 622/685?

Answer: LCM of Numerators as per given numbers 838/62, 296/72, 622/685 is

LCM of Numerators i.e. for 838,296,622 is 38571464

GCF of denominators i.e. for 62,72,685 is 1.

Thus, LCM of Fractions is 38571464.Finally, LCM of Fractions for 838/62, 296/72, 622/685 is 38571464.