Least Common Multiple of 605/70, 638/53, 779/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/70, 638/53, 779/385 quickly i.e. 27335110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/70, 638/53, 779/385 is 27335110.

LCM(605/70, 638/53, 779/385) = 27335110

LCM of 605/70, 638/53, 779/385

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 605/70,638/53,779/385

Given numbers are 605/70,638/53,779/385

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 605,638,779

Least Common Multiple of Numerators i.e. LCM of 605,638,779 is 27335110.

GCF of Denominators means GCF of 70,53,385 as per the given fractions.

GCF of 70,53,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,638,779

LCM of Fractions 605/70,638/53,779/385 is 27335110

11 605, 638, 779
55, 58, 779

∴ So the LCM of the given numbers is 11 x 55 x 58 x 779 = 27335110

Least Common Multiple of 605,638,779 with GCF Formula

Least Common Multiple of 605,638,779 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 605,638,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,638,779) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(605,638,779) x common factors =1 x 11 = 11

LCM(605,638,779) = ( 605 × 638 × 779 ) / 11

LCM(605,638,779) = 300686210 / 11

LCM(605,638,779) = 27335110


Lets's calculate GCF of 70,53,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27335110/1

Therefore the LCM of Fractions 605/70,638/53,779/385 is 27335110

Greatest Common Factor of 70,53,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,53,385 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 70,53,385 . The biggest common factor number is the GCF number.
So the greatest common factor 70,53,385 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 605/70, 638/53, 779/385

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 605/70, 638/53, 779/385?

Answer: LCM of Numerators as per given numbers 605/70, 638/53, 779/385 is

LCM of Numerators i.e. for 605,638,779 is 27335110

GCF of denominators i.e. for 70,53,385 is 1.

Thus, LCM of Fractions is 27335110.Finally, LCM of Fractions for 605/70, 638/53, 779/385 is 27335110.