Least Common Multiple of 24/746, 705/406, 975/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/746, 705/406, 975/278 quickly i.e. 183300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/746, 705/406, 975/278 is 183300.

LCM(24/746, 705/406, 975/278) = 183300

LCM of 24/746, 705/406, 975/278

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 24/746,705/406,975/278

Given numbers are 24/746,705/406,975/278

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 24,705,975

Least Common Multiple of Numerators i.e. LCM of 24,705,975 is 366600.

GCF of Denominators means GCF of 746,406,278 as per the given fractions.

GCF of 746,406,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,705,975

LCM of Fractions 24/746,705/406,975/278 is 183300

3 24, 705, 975
5 8, 235, 325
8, 47, 65

∴ So the LCM of the given numbers is 3 x 5 x 8 x 47 x 65 = 366600

Least Common Multiple of 24,705,975 with GCF Formula

Least Common Multiple of 24,705,975 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 24,705,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,705,975) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(24,705,975) x common factors =3 x 15 = 45

LCM(24,705,975) = ( 24 × 705 × 975 ) / 45

LCM(24,705,975) = 16497000 / 45

LCM(24,705,975) = 366600


Lets's calculate GCF of 746,406,278

2 746, 406, 278
373, 203, 139

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366600/2

Therefore the LCM of Fractions 24/746,705/406,975/278 is 183300

Greatest Common Factor of 746,406,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,406,278 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 746,406,278 . The biggest common factor number is the GCF number.
So the greatest common factor 746,406,278 is 2.


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 24/746, 705/406, 975/278

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 24/746, 705/406, 975/278?

Answer: LCM of Numerators as per given numbers 24/746, 705/406, 975/278 is

LCM of Numerators i.e. for 24,705,975 is 366600

GCF of denominators i.e. for 746,406,278 is 2.

Thus, LCM of Fractions is 183300.Finally, LCM of Fractions for 24/746, 705/406, 975/278 is 183300.