Least Common Multiple of 387/782, 647/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/782, 647/782 quickly i.e. 250389/782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/782, 647/782 is 250389/782.

LCM(387/782, 647/782) = 250389/782

LCM of 387/782, 647/782

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 387/782,647/782

Given numbers are 387/782,647/782

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 387,647

Least Common Multiple of Numerators i.e. LCM of 387,647 is 250389.

GCF of Denominators means GCF of 782,782 as per the given fractions.

GCF of 782,782 is 782 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,647

LCM of Fractions 387/782,647/782 is 250389/782

Given numbers has no common factors except 1. So, there LCM is their product i.e 250389

Least Common Multiple of 387,647 with GCF Formula

Least Common Multiple of 387,647 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 387,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,647) = 1

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

GCF(387,647) x common factors =1 x 1 = 1

LCM(387,647) = ( 387 × 647 ) / 1

LCM(387,647) = 250389 / 1

LCM(387,647) = 250389


Lets's calculate GCF of 782,782

2 782, 782
17 391, 391
23 23, 23
1, 1

∴ So the GCF of the given numbers is 2 x 17 x 23 = 782

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 250389/782

Therefore the LCM of Fractions 387/782,647/782 is 250389/782

Greatest Common Factor of 782,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,782 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 782,782 . The biggest common factor number is the GCF number.
So the greatest common factor 782,782 is 782.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 387/782, 647/782

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 387/782, 647/782?

Answer: LCM of Numerators as per given numbers 387/782, 647/782 is

LCM of Numerators i.e. for 387,647 is 250389

GCF of denominators i.e. for 782,782 is 782.

Thus, LCM of Fractions is 250389/782.Finally, LCM of Fractions for 387/782, 647/782 is 250389/782.