Least Common Multiple of 8175/24, 3030/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8175/24, 3030/850 quickly i.e. 825675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8175/24, 3030/850 is 825675.

LCM(8175/24, 3030/850) = 825675

LCM of 8175/24, 3030/850

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 8175/24,3030/850

Given numbers are 8175/24,3030/850

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 8175,3030

Least Common Multiple of Numerators i.e. LCM of 8175,3030 is 1651350.

GCF of Denominators means GCF of 24,850 as per the given fractions.

GCF of 24,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8175,3030

LCM of Fractions 8175/24,3030/850 is 825675

3 8175, 3030
5 2725, 1010
545, 202

∴ So the LCM of the given numbers is 3 x 5 x 545 x 202 = 1651350

Least Common Multiple of 8175,3030 with GCF Formula

Least Common Multiple of 8175,3030 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 8175,3030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8175,3030) = 15

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

GCF(8175,3030) x common factors =15 x 1 = 15

LCM(8175,3030) = ( 8175 × 3030 ) / 15

LCM(8175,3030) = 24770250 / 15

LCM(8175,3030) = 1651350


Lets's calculate GCF of 24,850

2 24, 850
12, 425

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1651350/2

Therefore the LCM of Fractions 8175/24,3030/850 is 825675

Greatest Common Factor of 24,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,850 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 24,850 . The biggest common factor number is the GCF number.
So the greatest common factor 24,850 is 2.


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 8175/24, 3030/850

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 8175/24, 3030/850?

Answer: LCM of Numerators as per given numbers 8175/24, 3030/850 is

LCM of Numerators i.e. for 8175,3030 is 1651350

GCF of denominators i.e. for 24,850 is 2.

Thus, LCM of Fractions is 825675.Finally, LCM of Fractions for 8175/24, 3030/850 is 825675.