Least Common Multiple of 30/504, 45/825, 562/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/504, 45/825, 562/734 quickly i.e. 25290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/504, 45/825, 562/734 is 25290.

LCM(30/504, 45/825, 562/734) = 25290

LCM of 30/504, 45/825, 562/734

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 30/504,45/825,562/734

Given numbers are 30/504,45/825,562/734

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 30,45,562

Least Common Multiple of Numerators i.e. LCM of 30,45,562 is 25290.

GCF of Denominators means GCF of 504,825,734 as per the given fractions.

GCF of 504,825,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,45,562

LCM of Fractions 30/504,45/825,562/734 is 25290

2 30, 45, 562
3 15, 45, 281
5 5, 15, 281
1, 3, 281

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 281 = 25290

Least Common Multiple of 30,45,562 with GCF Formula

Least Common Multiple of 30,45,562 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 30,45,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,45,562) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,45,562) x common factors =1 x 30 = 30

LCM(30,45,562) = ( 30 × 45 × 562 ) / 30

LCM(30,45,562) = 758700 / 30

LCM(30,45,562) = 25290


Lets's calculate GCF of 504,825,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25290/1

Therefore the LCM of Fractions 30/504,45/825,562/734 is 25290

Greatest Common Factor of 504,825,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,825,734 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 504,825,734 . The biggest common factor number is the GCF number.
So the greatest common factor 504,825,734 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 30/504, 45/825, 562/734

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 30/504, 45/825, 562/734?

Answer: LCM of Numerators as per given numbers 30/504, 45/825, 562/734 is

LCM of Numerators i.e. for 30,45,562 is 25290

GCF of denominators i.e. for 504,825,734 is 1.

Thus, LCM of Fractions is 25290.Finally, LCM of Fractions for 30/504, 45/825, 562/734 is 25290.