Least Common Multiple of 71/559, 865/368, 682/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/559, 865/368, 682/473 quickly i.e. 41885030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/559, 865/368, 682/473 is 41885030.

LCM(71/559, 865/368, 682/473) = 41885030

LCM of 71/559, 865/368, 682/473

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 71/559,865/368,682/473

Given numbers are 71/559,865/368,682/473

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 71,865,682

Least Common Multiple of Numerators i.e. LCM of 71,865,682 is 41885030.

GCF of Denominators means GCF of 559,368,473 as per the given fractions.

GCF of 559,368,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,865,682

LCM of Fractions 71/559,865/368,682/473 is 41885030

Given numbers has no common factors except 1. So, there LCM is their product i.e 41885030

Least Common Multiple of 71,865,682 with GCF Formula

Least Common Multiple of 71,865,682 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 71,865,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,865,682) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,865,682) x common factors =1 x 1 = 1

LCM(71,865,682) = ( 71 × 865 × 682 ) / 1

LCM(71,865,682) = 41885030 / 1

LCM(71,865,682) = 41885030


Lets's calculate GCF of 559,368,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41885030/1

Therefore the LCM of Fractions 71/559,865/368,682/473 is 41885030

Greatest Common Factor of 559,368,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,368,473 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 473

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

1,11,43,473

Greatest Common Factor

We found the factors 559,368,473 . The biggest common factor number is the GCF number.
So the greatest common factor 559,368,473 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/559, 865/368, 682/473

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 71/559, 865/368, 682/473?

Answer: LCM of Numerators as per given numbers 71/559, 865/368, 682/473 is

LCM of Numerators i.e. for 71,865,682 is 41885030

GCF of denominators i.e. for 559,368,473 is 1.

Thus, LCM of Fractions is 41885030.Finally, LCM of Fractions for 71/559, 865/368, 682/473 is 41885030.