Least Common Multiple of 935/17, 357/52, 645/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 935/17, 357/52, 645/658 quickly i.e. 844305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 935/17, 357/52, 645/658 is 844305.

LCM(935/17, 357/52, 645/658) = 844305

LCM of 935/17, 357/52, 645/658

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 935/17,357/52,645/658

Given numbers are 935/17,357/52,645/658

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 935,357,645

Least Common Multiple of Numerators i.e. LCM of 935,357,645 is 844305.

GCF of Denominators means GCF of 17,52,658 as per the given fractions.

GCF of 17,52,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 935,357,645

LCM of Fractions 935/17,357/52,645/658 is 844305

3 935, 357, 645
5 935, 119, 215
17 187, 119, 43
11, 7, 43

∴ So the LCM of the given numbers is 3 x 5 x 17 x 11 x 7 x 43 = 844305

Least Common Multiple of 935,357,645 with GCF Formula

Least Common Multiple of 935,357,645 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 935,357,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,357,645) = 1

common factors(in case of two or more numbers have common factors) = 255

GCF(935,357,645) x common factors =1 x 255 = 255

LCM(935,357,645) = ( 935 × 357 × 645 ) / 255

LCM(935,357,645) = 215297775 / 255

LCM(935,357,645) = 844305


Lets's calculate GCF of 17,52,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 844305/1

Therefore the LCM of Fractions 935/17,357/52,645/658 is 844305

Greatest Common Factor of 17,52,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,52,658 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 17,52,658 . The biggest common factor number is the GCF number.
So the greatest common factor 17,52,658 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 935/17, 357/52, 645/658

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 935/17, 357/52, 645/658?

Answer: LCM of Numerators as per given numbers 935/17, 357/52, 645/658 is

LCM of Numerators i.e. for 935,357,645 is 844305

GCF of denominators i.e. for 17,52,658 is 1.

Thus, LCM of Fractions is 844305.Finally, LCM of Fractions for 935/17, 357/52, 645/658 is 844305.