Least Common Multiple of 74/63, 31/352, 825/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/63, 31/352, 825/232 quickly i.e. 1892550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/63, 31/352, 825/232 is 1892550.

LCM(74/63, 31/352, 825/232) = 1892550

LCM of 74/63, 31/352, 825/232

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 74/63,31/352,825/232

Given numbers are 74/63,31/352,825/232

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 74,31,825

Least Common Multiple of Numerators i.e. LCM of 74,31,825 is 1892550.

GCF of Denominators means GCF of 63,352,232 as per the given fractions.

GCF of 63,352,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,31,825

LCM of Fractions 74/63,31/352,825/232 is 1892550

Given numbers has no common factors except 1. So, there LCM is their product i.e 1892550

Least Common Multiple of 74,31,825 with GCF Formula

Least Common Multiple of 74,31,825 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 74,31,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,31,825) = 1

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

GCF(74,31,825) x common factors =1 x 1 = 1

LCM(74,31,825) = ( 74 × 31 × 825 ) / 1

LCM(74,31,825) = 1892550 / 1

LCM(74,31,825) = 1892550


Lets's calculate GCF of 63,352,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1892550/1

Therefore the LCM of Fractions 74/63,31/352,825/232 is 1892550

Greatest Common Factor of 63,352,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,352,232 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 63,352,232 . The biggest common factor number is the GCF number.
So the greatest common factor 63,352,232 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 74/63, 31/352, 825/232

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 74/63, 31/352, 825/232?

Answer: LCM of Numerators as per given numbers 74/63, 31/352, 825/232 is

LCM of Numerators i.e. for 74,31,825 is 1892550

GCF of denominators i.e. for 63,352,232 is 1.

Thus, LCM of Fractions is 1892550.Finally, LCM of Fractions for 74/63, 31/352, 825/232 is 1892550.