Least Common Multiple of 230/825, 361/187, 670/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/825, 361/187, 670/275 quickly i.e. 5563010/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/825, 361/187, 670/275 is 5563010/11.

LCM(230/825, 361/187, 670/275) = 5563010/11

LCM of 230/825, 361/187, 670/275

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 230/825,361/187,670/275

Given numbers are 230/825,361/187,670/275

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 230,361,670

Least Common Multiple of Numerators i.e. LCM of 230,361,670 is 5563010.

GCF of Denominators means GCF of 825,187,275 as per the given fractions.

GCF of 825,187,275 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,361,670

LCM of Fractions 230/825,361/187,670/275 is 5563010/11

2 230, 361, 670
5 115, 361, 335
23, 361, 67

∴ So the LCM of the given numbers is 2 x 5 x 23 x 361 x 67 = 5563010

Least Common Multiple of 230,361,670 with GCF Formula

Least Common Multiple of 230,361,670 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 230,361,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,361,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(230,361,670) x common factors =1 x 10 = 10

LCM(230,361,670) = ( 230 × 361 × 670 ) / 10

LCM(230,361,670) = 55630100 / 10

LCM(230,361,670) = 5563010


Lets's calculate GCF of 825,187,275

11 825, 187, 275
75, 17, 25

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5563010/11

Therefore the LCM of Fractions 230/825,361/187,670/275 is 5563010/11

Greatest Common Factor of 825,187,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,187,275 By Matching Biggest Common Factor Method

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 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 825,187,275 . The biggest common factor number is the GCF number.
So the greatest common factor 825,187,275 is 11.


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 230/825, 361/187, 670/275

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 230/825, 361/187, 670/275?

Answer: LCM of Numerators as per given numbers 230/825, 361/187, 670/275 is

LCM of Numerators i.e. for 230,361,670 is 5563010

GCF of denominators i.e. for 825,187,275 is 11.

Thus, LCM of Fractions is 5563010/11.Finally, LCM of Fractions for 230/825, 361/187, 670/275 is 5563010/11.