Least Common Multiple of 1477/476, 5971/1786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1477/476, 5971/1786 quickly i.e. 1259881/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1477/476, 5971/1786 is 1259881/2.

LCM(1477/476, 5971/1786) = 1259881/2

LCM of 1477/476, 5971/1786

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 1477/476,5971/1786

Given numbers are 1477/476,5971/1786

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 1477,5971

Least Common Multiple of Numerators i.e. LCM of 1477,5971 is 1259881.

GCF of Denominators means GCF of 476,1786 as per the given fractions.

GCF of 476,1786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1477,5971

LCM of Fractions 1477/476,5971/1786 is 1259881/2

7 1477, 5971
211, 853

∴ So the LCM of the given numbers is 7 x 211 x 853 = 1259881

Least Common Multiple of 1477,5971 with GCF Formula

Least Common Multiple of 1477,5971 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 1477,5971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1477,5971) = 7

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

GCF(1477,5971) x common factors =7 x 1 = 7

LCM(1477,5971) = ( 1477 × 5971 ) / 7

LCM(1477,5971) = 8819167 / 7

LCM(1477,5971) = 1259881


Lets's calculate GCF of 476,1786

2 476, 1786
238, 893

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1259881/2

Therefore the LCM of Fractions 1477/476,5971/1786 is 1259881/2

Greatest Common Factor of 476,1786 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,1786 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Greatest Common Factor

We found the factors 476,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 476,1786 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1477/476, 5971/1786

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 1477/476, 5971/1786?

Answer: LCM of Numerators as per given numbers 1477/476, 5971/1786 is

LCM of Numerators i.e. for 1477,5971 is 1259881

GCF of denominators i.e. for 476,1786 is 2.

Thus, LCM of Fractions is 1259881/2.Finally, LCM of Fractions for 1477/476, 5971/1786 is 1259881/2.