Least Common Multiple of 47/877, 90/559, 588/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/877, 90/559, 588/671 quickly i.e. 414540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/877, 90/559, 588/671 is 414540.

LCM(47/877, 90/559, 588/671) = 414540

LCM of 47/877, 90/559, 588/671

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 47/877,90/559,588/671

Given numbers are 47/877,90/559,588/671

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 47,90,588

Least Common Multiple of Numerators i.e. LCM of 47,90,588 is 414540.

GCF of Denominators means GCF of 877,559,671 as per the given fractions.

GCF of 877,559,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,90,588

LCM of Fractions 47/877,90/559,588/671 is 414540

2 47, 90, 588
3 47, 45, 294
47, 15, 98

∴ So the LCM of the given numbers is 2 x 3 x 47 x 15 x 98 = 414540

Least Common Multiple of 47,90,588 with GCF Formula

Least Common Multiple of 47,90,588 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 47,90,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,90,588) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(47,90,588) x common factors =1 x 6 = 6

LCM(47,90,588) = ( 47 × 90 × 588 ) / 6

LCM(47,90,588) = 2487240 / 6

LCM(47,90,588) = 414540


Lets's calculate GCF of 877,559,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414540/1

Therefore the LCM of Fractions 47/877,90/559,588/671 is 414540

Greatest Common Factor of 877,559,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,559,671 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 559

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

1,13,43,559

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 877,559,671 . The biggest common factor number is the GCF number.
So the greatest common factor 877,559,671 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 47/877, 90/559, 588/671

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 47/877, 90/559, 588/671?

Answer: LCM of Numerators as per given numbers 47/877, 90/559, 588/671 is

LCM of Numerators i.e. for 47,90,588 is 414540

GCF of denominators i.e. for 877,559,671 is 1.

Thus, LCM of Fractions is 414540.Finally, LCM of Fractions for 47/877, 90/559, 588/671 is 414540.