Least Common Multiple of 149/948, 933/477, 810/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/948, 933/477, 810/675 quickly i.e. 12511530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/948, 933/477, 810/675 is 12511530.

LCM(149/948, 933/477, 810/675) = 12511530

LCM of 149/948, 933/477, 810/675

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 149/948,933/477,810/675

Given numbers are 149/948,933/477,810/675

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 149,933,810

Least Common Multiple of Numerators i.e. LCM of 149,933,810 is 37534590.

GCF of Denominators means GCF of 948,477,675 as per the given fractions.

GCF of 948,477,675 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,933,810

LCM of Fractions 149/948,933/477,810/675 is 12511530

3 149, 933, 810
149, 311, 270

∴ So the LCM of the given numbers is 3 x 149 x 311 x 270 = 37534590

Least Common Multiple of 149,933,810 with GCF Formula

Least Common Multiple of 149,933,810 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 149,933,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,933,810) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(149,933,810) x common factors =1 x 3 = 3

LCM(149,933,810) = ( 149 × 933 × 810 ) / 3

LCM(149,933,810) = 112603770 / 3

LCM(149,933,810) = 37534590


Lets's calculate GCF of 948,477,675

3 948, 477, 675
316, 159, 225

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37534590/3

Therefore the LCM of Fractions 149/948,933/477,810/675 is 12511530

Greatest Common Factor of 948,477,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,477,675 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 948,477,675 . The biggest common factor number is the GCF number.
So the greatest common factor 948,477,675 is 3.


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 149/948, 933/477, 810/675

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 149/948, 933/477, 810/675?

Answer: LCM of Numerators as per given numbers 149/948, 933/477, 810/675 is

LCM of Numerators i.e. for 149,933,810 is 37534590

GCF of denominators i.e. for 948,477,675 is 3.

Thus, LCM of Fractions is 12511530.Finally, LCM of Fractions for 149/948, 933/477, 810/675 is 12511530.