Least Common Multiple of 448/28, 270/44, 922/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/28, 270/44, 922/759 quickly i.e. 27881280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/28, 270/44, 922/759 is 27881280.

LCM(448/28, 270/44, 922/759) = 27881280

LCM of 448/28, 270/44, 922/759

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 448/28,270/44,922/759

Given numbers are 448/28,270/44,922/759

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 448,270,922

Least Common Multiple of Numerators i.e. LCM of 448,270,922 is 27881280.

GCF of Denominators means GCF of 28,44,759 as per the given fractions.

GCF of 28,44,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,270,922

LCM of Fractions 448/28,270/44,922/759 is 27881280

2 448, 270, 922
224, 135, 461

∴ So the LCM of the given numbers is 2 x 224 x 135 x 461 = 27881280

Least Common Multiple of 448,270,922 with GCF Formula

Least Common Multiple of 448,270,922 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 448,270,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,270,922) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(448,270,922) x common factors =2 x 2 = 4

LCM(448,270,922) = ( 448 × 270 × 922 ) / 4

LCM(448,270,922) = 111525120 / 4

LCM(448,270,922) = 27881280


Lets's calculate GCF of 28,44,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27881280/1

Therefore the LCM of Fractions 448/28,270/44,922/759 is 27881280

Greatest Common Factor of 28,44,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,44,759 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 28,44,759 . The biggest common factor number is the GCF number.
So the greatest common factor 28,44,759 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 448/28, 270/44, 922/759

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 448/28, 270/44, 922/759?

Answer: LCM of Numerators as per given numbers 448/28, 270/44, 922/759 is

LCM of Numerators i.e. for 448,270,922 is 27881280

GCF of denominators i.e. for 28,44,759 is 1.

Thus, LCM of Fractions is 27881280.Finally, LCM of Fractions for 448/28, 270/44, 922/759 is 27881280.