Least Common Multiple of 339/18, 707/35, 927/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 339/18, 707/35, 927/18 quickly i.e. 74058957 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/18, 707/35, 927/18 is 74058957.

LCM(339/18, 707/35, 927/18) = 74058957

LCM of 339/18, 707/35, 927/18

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 339/18,707/35,927/18

Given numbers are 339/18,707/35,927/18

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 339,707,927

Least Common Multiple of Numerators i.e. LCM of 339,707,927 is 74058957.

GCF of Denominators means GCF of 18,35,18 as per the given fractions.

GCF of 18,35,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,707,927

LCM of Fractions 339/18,707/35,927/18 is 74058957

3 339, 707, 927
113, 707, 309

∴ So the LCM of the given numbers is 3 x 113 x 707 x 309 = 74058957

Least Common Multiple of 339,707,927 with GCF Formula

Least Common Multiple of 339,707,927 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 339,707,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,707,927) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(339,707,927) x common factors =1 x 3 = 3

LCM(339,707,927) = ( 339 × 707 × 927 ) / 3

LCM(339,707,927) = 222176871 / 3

LCM(339,707,927) = 74058957


Lets's calculate GCF of 18,35,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74058957/1

Therefore the LCM of Fractions 339/18,707/35,927/18 is 74058957

Greatest Common Factor of 18,35,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,35,18 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 18,35,18 . The biggest common factor number is the GCF number.
So the greatest common factor 18,35,18 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 339/18, 707/35, 927/18

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 339/18, 707/35, 927/18?

Answer: LCM of Numerators as per given numbers 339/18, 707/35, 927/18 is

LCM of Numerators i.e. for 339,707,927 is 74058957

GCF of denominators i.e. for 18,35,18 is 1.

Thus, LCM of Fractions is 74058957.Finally, LCM of Fractions for 339/18, 707/35, 927/18 is 74058957.