Least Common Multiple of 67/604, 47/223, 463/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/604, 47/223, 463/780 quickly i.e. 1457987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/604, 47/223, 463/780 is 1457987.

LCM(67/604, 47/223, 463/780) = 1457987

LCM of 67/604, 47/223, 463/780

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 67/604,47/223,463/780

Given numbers are 67/604,47/223,463/780

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 67,47,463

Least Common Multiple of Numerators i.e. LCM of 67,47,463 is 1457987.

GCF of Denominators means GCF of 604,223,780 as per the given fractions.

GCF of 604,223,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,47,463

LCM of Fractions 67/604,47/223,463/780 is 1457987

Given numbers has no common factors except 1. So, there LCM is their product i.e 1457987

Least Common Multiple of 67,47,463 with GCF Formula

Least Common Multiple of 67,47,463 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 67,47,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,47,463) = 1

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

GCF(67,47,463) x common factors =1 x 1 = 1

LCM(67,47,463) = ( 67 × 47 × 463 ) / 1

LCM(67,47,463) = 1457987 / 1

LCM(67,47,463) = 1457987


Lets's calculate GCF of 604,223,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1457987/1

Therefore the LCM of Fractions 67/604,47/223,463/780 is 1457987

Greatest Common Factor of 604,223,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,223,780 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 604,223,780 . The biggest common factor number is the GCF number.
So the greatest common factor 604,223,780 is 1.


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 67/604, 47/223, 463/780

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 67/604, 47/223, 463/780?

Answer: LCM of Numerators as per given numbers 67/604, 47/223, 463/780 is

LCM of Numerators i.e. for 67,47,463 is 1457987

GCF of denominators i.e. for 604,223,780 is 1.

Thus, LCM of Fractions is 1457987.Finally, LCM of Fractions for 67/604, 47/223, 463/780 is 1457987.