Least Common Multiple of 64/232, 210/818, 429/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/232, 210/818, 429/333 quickly i.e. 960960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/232, 210/818, 429/333 is 960960.

LCM(64/232, 210/818, 429/333) = 960960

LCM of 64/232, 210/818, 429/333

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 64/232,210/818,429/333

Given numbers are 64/232,210/818,429/333

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 64,210,429

Least Common Multiple of Numerators i.e. LCM of 64,210,429 is 960960.

GCF of Denominators means GCF of 232,818,333 as per the given fractions.

GCF of 232,818,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,210,429

LCM of Fractions 64/232,210/818,429/333 is 960960

2 64, 210, 429
3 32, 105, 429
32, 35, 143

∴ So the LCM of the given numbers is 2 x 3 x 32 x 35 x 143 = 960960

Least Common Multiple of 64,210,429 with GCF Formula

Least Common Multiple of 64,210,429 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 64,210,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,210,429) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(64,210,429) x common factors =1 x 6 = 6

LCM(64,210,429) = ( 64 × 210 × 429 ) / 6

LCM(64,210,429) = 5765760 / 6

LCM(64,210,429) = 960960


Lets's calculate GCF of 232,818,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960960/1

Therefore the LCM of Fractions 64/232,210/818,429/333 is 960960

Greatest Common Factor of 232,818,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,818,333 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 232,818,333 . The biggest common factor number is the GCF number.
So the greatest common factor 232,818,333 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 64/232, 210/818, 429/333

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 64/232, 210/818, 429/333?

Answer: LCM of Numerators as per given numbers 64/232, 210/818, 429/333 is

LCM of Numerators i.e. for 64,210,429 is 960960

GCF of denominators i.e. for 232,818,333 is 1.

Thus, LCM of Fractions is 960960.Finally, LCM of Fractions for 64/232, 210/818, 429/333 is 960960.