Least Common Multiple of 24/66, 833/25, 705/901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/66, 833/25, 705/901 quickly i.e. 4698120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/66, 833/25, 705/901 is 4698120.

LCM(24/66, 833/25, 705/901) = 4698120

LCM of 24/66, 833/25, 705/901

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 24/66,833/25,705/901

Given numbers are 24/66,833/25,705/901

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 24,833,705

Least Common Multiple of Numerators i.e. LCM of 24,833,705 is 4698120.

GCF of Denominators means GCF of 66,25,901 as per the given fractions.

GCF of 66,25,901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,833,705

LCM of Fractions 24/66,833/25,705/901 is 4698120

3 24, 833, 705
8, 833, 235

∴ So the LCM of the given numbers is 3 x 8 x 833 x 235 = 4698120

Least Common Multiple of 24,833,705 with GCF Formula

Least Common Multiple of 24,833,705 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 24,833,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,833,705) = 1

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

GCF(24,833,705) x common factors =1 x 3 = 3

LCM(24,833,705) = ( 24 × 833 × 705 ) / 3

LCM(24,833,705) = 14094360 / 3

LCM(24,833,705) = 4698120


Lets's calculate GCF of 66,25,901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4698120/1

Therefore the LCM of Fractions 24/66,833/25,705/901 is 4698120

Greatest Common Factor of 66,25,901 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,25,901 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Greatest Common Factor

We found the factors 66,25,901 . The biggest common factor number is the GCF number.
So the greatest common factor 66,25,901 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/66, 833/25, 705/901

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 24/66, 833/25, 705/901?

Answer: LCM of Numerators as per given numbers 24/66, 833/25, 705/901 is

LCM of Numerators i.e. for 24,833,705 is 4698120

GCF of denominators i.e. for 66,25,901 is 1.

Thus, LCM of Fractions is 4698120.Finally, LCM of Fractions for 24/66, 833/25, 705/901 is 4698120.