Least Common Multiple of 447/22, 279/88, 757/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 447/22, 279/88, 757/710 quickly i.e. 31469247/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/22, 279/88, 757/710 is 31469247/2.

LCM(447/22, 279/88, 757/710) = 31469247/2

LCM of 447/22, 279/88, 757/710

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 447/22,279/88,757/710

Given numbers are 447/22,279/88,757/710

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 447,279,757

Least Common Multiple of Numerators i.e. LCM of 447,279,757 is 31469247.

GCF of Denominators means GCF of 22,88,710 as per the given fractions.

GCF of 22,88,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,279,757

LCM of Fractions 447/22,279/88,757/710 is 31469247/2

3 447, 279, 757
149, 93, 757

∴ So the LCM of the given numbers is 3 x 149 x 93 x 757 = 31469247

Least Common Multiple of 447,279,757 with GCF Formula

Least Common Multiple of 447,279,757 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 447,279,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,279,757) = 1

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

GCF(447,279,757) x common factors =1 x 3 = 3

LCM(447,279,757) = ( 447 × 279 × 757 ) / 3

LCM(447,279,757) = 94407741 / 3

LCM(447,279,757) = 31469247


Lets's calculate GCF of 22,88,710

2 22, 88, 710
11, 44, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31469247/2

Therefore the LCM of Fractions 447/22,279/88,757/710 is 31469247/2

Greatest Common Factor of 22,88,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,88,710 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 22,88,710 . The biggest common factor number is the GCF number.
So the greatest common factor 22,88,710 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 447/22, 279/88, 757/710

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 447/22, 279/88, 757/710?

Answer: LCM of Numerators as per given numbers 447/22, 279/88, 757/710 is

LCM of Numerators i.e. for 447,279,757 is 31469247

GCF of denominators i.e. for 22,88,710 is 2.

Thus, LCM of Fractions is 31469247/2.Finally, LCM of Fractions for 447/22, 279/88, 757/710 is 31469247/2.