Least Common Multiple of 64/723, 964/900, 210/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/723, 964/900, 210/467 quickly i.e. 1619520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/723, 964/900, 210/467 is 1619520.

LCM(64/723, 964/900, 210/467) = 1619520

LCM of 64/723, 964/900, 210/467

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 64/723,964/900,210/467

Given numbers are 64/723,964/900,210/467

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 64,964,210

Least Common Multiple of Numerators i.e. LCM of 64,964,210 is 1619520.

GCF of Denominators means GCF of 723,900,467 as per the given fractions.

GCF of 723,900,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,964,210

LCM of Fractions 64/723,964/900,210/467 is 1619520

2 64, 964, 210
2 32, 482, 105
16, 241, 105

∴ So the LCM of the given numbers is 2 x 2 x 16 x 241 x 105 = 1619520

Least Common Multiple of 64,964,210 with GCF Formula

Least Common Multiple of 64,964,210 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 64,964,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,964,210) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(64,964,210) x common factors =2 x 4 = 8

LCM(64,964,210) = ( 64 × 964 × 210 ) / 8

LCM(64,964,210) = 12956160 / 8

LCM(64,964,210) = 1619520


Lets's calculate GCF of 723,900,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1619520/1

Therefore the LCM of Fractions 64/723,964/900,210/467 is 1619520

Greatest Common Factor of 723,900,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,900,467 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 723,900,467 . The biggest common factor number is the GCF number.
So the greatest common factor 723,900,467 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 64/723, 964/900, 210/467

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 64/723, 964/900, 210/467?

Answer: LCM of Numerators as per given numbers 64/723, 964/900, 210/467 is

LCM of Numerators i.e. for 64,964,210 is 1619520

GCF of denominators i.e. for 723,900,467 is 1.

Thus, LCM of Fractions is 1619520.Finally, LCM of Fractions for 64/723, 964/900, 210/467 is 1619520.