Least Common Multiple of 15/973, 279/473, 565/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/973, 279/473, 565/694 quickly i.e. 157635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/973, 279/473, 565/694 is 157635.

LCM(15/973, 279/473, 565/694) = 157635

LCM of 15/973, 279/473, 565/694

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 15/973,279/473,565/694

Given numbers are 15/973,279/473,565/694

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 15,279,565

Least Common Multiple of Numerators i.e. LCM of 15,279,565 is 157635.

GCF of Denominators means GCF of 973,473,694 as per the given fractions.

GCF of 973,473,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,279,565

LCM of Fractions 15/973,279/473,565/694 is 157635

3 15, 279, 565
5 5, 93, 565
1, 93, 113

∴ So the LCM of the given numbers is 3 x 5 x 1 x 93 x 113 = 157635

Least Common Multiple of 15,279,565 with GCF Formula

Least Common Multiple of 15,279,565 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 15,279,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,279,565) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,279,565) x common factors =1 x 15 = 15

LCM(15,279,565) = ( 15 × 279 × 565 ) / 15

LCM(15,279,565) = 2364525 / 15

LCM(15,279,565) = 157635


Lets's calculate GCF of 973,473,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157635/1

Therefore the LCM of Fractions 15/973,279/473,565/694 is 157635

Greatest Common Factor of 973,473,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,473,694 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 973,473,694 . The biggest common factor number is the GCF number.
So the greatest common factor 973,473,694 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/973, 279/473, 565/694

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 15/973, 279/473, 565/694?

Answer: LCM of Numerators as per given numbers 15/973, 279/473, 565/694 is

LCM of Numerators i.e. for 15,279,565 is 157635

GCF of denominators i.e. for 973,473,694 is 1.

Thus, LCM of Fractions is 157635.Finally, LCM of Fractions for 15/973, 279/473, 565/694 is 157635.