Least Common Multiple of 144/354, 454/429, 823/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/354, 454/429, 823/930 quickly i.e. 8967408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/354, 454/429, 823/930 is 8967408.

LCM(144/354, 454/429, 823/930) = 8967408

LCM of 144/354, 454/429, 823/930

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 144/354,454/429,823/930

Given numbers are 144/354,454/429,823/930

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 144,454,823

Least Common Multiple of Numerators i.e. LCM of 144,454,823 is 26902224.

GCF of Denominators means GCF of 354,429,930 as per the given fractions.

GCF of 354,429,930 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,454,823

LCM of Fractions 144/354,454/429,823/930 is 8967408

2 144, 454, 823
72, 227, 823

∴ So the LCM of the given numbers is 2 x 72 x 227 x 823 = 26902224

Least Common Multiple of 144,454,823 with GCF Formula

Least Common Multiple of 144,454,823 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 144,454,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,454,823) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(144,454,823) x common factors =1 x 2 = 2

LCM(144,454,823) = ( 144 × 454 × 823 ) / 2

LCM(144,454,823) = 53804448 / 2

LCM(144,454,823) = 26902224


Lets's calculate GCF of 354,429,930

3 354, 429, 930
118, 143, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26902224/3

Therefore the LCM of Fractions 144/354,454/429,823/930 is 8967408

Greatest Common Factor of 354,429,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,429,930 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 354,429,930 . The biggest common factor number is the GCF number.
So the greatest common factor 354,429,930 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 144/354, 454/429, 823/930

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 144/354, 454/429, 823/930?

Answer: LCM of Numerators as per given numbers 144/354, 454/429, 823/930 is

LCM of Numerators i.e. for 144,454,823 is 26902224

GCF of denominators i.e. for 354,429,930 is 3.

Thus, LCM of Fractions is 8967408.Finally, LCM of Fractions for 144/354, 454/429, 823/930 is 8967408.