Least Common Multiple of 69/855, 42/954, 433/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/855, 42/954, 433/864 quickly i.e. 418278/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/855, 42/954, 433/864 is 418278/9.

LCM(69/855, 42/954, 433/864) = 418278/9

LCM of 69/855, 42/954, 433/864

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 69/855,42/954,433/864

Given numbers are 69/855,42/954,433/864

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 69,42,433

Least Common Multiple of Numerators i.e. LCM of 69,42,433 is 418278.

GCF of Denominators means GCF of 855,954,864 as per the given fractions.

GCF of 855,954,864 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,42,433

LCM of Fractions 69/855,42/954,433/864 is 418278/9

3 69, 42, 433
23, 14, 433

∴ So the LCM of the given numbers is 3 x 23 x 14 x 433 = 418278

Least Common Multiple of 69,42,433 with GCF Formula

Least Common Multiple of 69,42,433 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 69,42,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,42,433) = 1

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

GCF(69,42,433) x common factors =1 x 3 = 3

LCM(69,42,433) = ( 69 × 42 × 433 ) / 3

LCM(69,42,433) = 1254834 / 3

LCM(69,42,433) = 418278


Lets's calculate GCF of 855,954,864

3 855, 954, 864
3 285, 318, 288
95, 106, 96

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418278/9

Therefore the LCM of Fractions 69/855,42/954,433/864 is 418278/9

Greatest Common Factor of 855,954,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,954,864 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 855,954,864 . The biggest common factor number is the GCF number.
So the greatest common factor 855,954,864 is 9.


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 69/855, 42/954, 433/864

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 69/855, 42/954, 433/864?

Answer: LCM of Numerators as per given numbers 69/855, 42/954, 433/864 is

LCM of Numerators i.e. for 69,42,433 is 418278

GCF of denominators i.e. for 855,954,864 is 9.

Thus, LCM of Fractions is 418278/9.Finally, LCM of Fractions for 69/855, 42/954, 433/864 is 418278/9.