Least Common Multiple of 8425/782, 6365/1904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8425/782, 6365/1904 quickly i.e. 10725025/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8425/782, 6365/1904 is 10725025/34.

LCM(8425/782, 6365/1904) = 10725025/34

LCM of 8425/782, 6365/1904

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 8425/782,6365/1904

Given numbers are 8425/782,6365/1904

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 8425,6365

Least Common Multiple of Numerators i.e. LCM of 8425,6365 is 10725025.

GCF of Denominators means GCF of 782,1904 as per the given fractions.

GCF of 782,1904 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8425,6365

LCM of Fractions 8425/782,6365/1904 is 10725025/34

5 8425, 6365
1685, 1273

∴ So the LCM of the given numbers is 5 x 1685 x 1273 = 10725025

Least Common Multiple of 8425,6365 with GCF Formula

Least Common Multiple of 8425,6365 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 8425,6365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8425,6365) = 5

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

GCF(8425,6365) x common factors =5 x 1 = 5

LCM(8425,6365) = ( 8425 × 6365 ) / 5

LCM(8425,6365) = 53625125 / 5

LCM(8425,6365) = 10725025


Lets's calculate GCF of 782,1904

2 782, 1904
17 391, 952
23, 56

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10725025/34

Therefore the LCM of Fractions 8425/782,6365/1904 is 10725025/34

Greatest Common Factor of 782,1904 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,1904 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 1904

List of positive integer factors of 1904 that divides 1904 without a remainder.

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Greatest Common Factor

We found the factors 782,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 782,1904 is 34.


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 8425/782, 6365/1904

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 8425/782, 6365/1904?

Answer: LCM of Numerators as per given numbers 8425/782, 6365/1904 is

LCM of Numerators i.e. for 8425,6365 is 10725025

GCF of denominators i.e. for 782,1904 is 34.

Thus, LCM of Fractions is 10725025/34.Finally, LCM of Fractions for 8425/782, 6365/1904 is 10725025/34.