Least Common Multiple of 467/967, 429/923, 364/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/967, 429/923, 364/667 quickly i.e. 5609604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/967, 429/923, 364/667 is 5609604.

LCM(467/967, 429/923, 364/667) = 5609604

LCM of 467/967, 429/923, 364/667

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 467/967,429/923,364/667

Given numbers are 467/967,429/923,364/667

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 467,429,364

Least Common Multiple of Numerators i.e. LCM of 467,429,364 is 5609604.

GCF of Denominators means GCF of 967,923,667 as per the given fractions.

GCF of 967,923,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,429,364

LCM of Fractions 467/967,429/923,364/667 is 5609604

13 467, 429, 364
467, 33, 28

∴ So the LCM of the given numbers is 13 x 467 x 33 x 28 = 5609604

Least Common Multiple of 467,429,364 with GCF Formula

Least Common Multiple of 467,429,364 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 467,429,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,429,364) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(467,429,364) x common factors =1 x 13 = 13

LCM(467,429,364) = ( 467 × 429 × 364 ) / 13

LCM(467,429,364) = 72924852 / 13

LCM(467,429,364) = 5609604


Lets's calculate GCF of 967,923,667

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5609604/1

Therefore the LCM of Fractions 467/967,429/923,364/667 is 5609604

Greatest Common Factor of 967,923,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,923,667 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 967,923,667 . The biggest common factor number is the GCF number.
So the greatest common factor 967,923,667 is 1.


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 467/967, 429/923, 364/667

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 467/967, 429/923, 364/667?

Answer: LCM of Numerators as per given numbers 467/967, 429/923, 364/667 is

LCM of Numerators i.e. for 467,429,364 is 5609604

GCF of denominators i.e. for 967,923,667 is 1.

Thus, LCM of Fractions is 5609604.Finally, LCM of Fractions for 467/967, 429/923, 364/667 is 5609604.