Least Common Multiple of 448/81, 749/32, 814/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/81, 749/32, 814/858 quickly i.e. 19509952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/81, 749/32, 814/858 is 19509952.

LCM(448/81, 749/32, 814/858) = 19509952

LCM of 448/81, 749/32, 814/858

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 448/81,749/32,814/858

Given numbers are 448/81,749/32,814/858

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 448,749,814

Least Common Multiple of Numerators i.e. LCM of 448,749,814 is 19509952.

GCF of Denominators means GCF of 81,32,858 as per the given fractions.

GCF of 81,32,858 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,749,814

LCM of Fractions 448/81,749/32,814/858 is 19509952

2 448, 749, 814
7 224, 749, 407
32, 107, 407

∴ So the LCM of the given numbers is 2 x 7 x 32 x 107 x 407 = 19509952

Least Common Multiple of 448,749,814 with GCF Formula

Least Common Multiple of 448,749,814 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 448,749,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,749,814) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(448,749,814) x common factors =1 x 14 = 14

LCM(448,749,814) = ( 448 × 749 × 814 ) / 14

LCM(448,749,814) = 273139328 / 14

LCM(448,749,814) = 19509952


Lets's calculate GCF of 81,32,858

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19509952/1

Therefore the LCM of Fractions 448/81,749/32,814/858 is 19509952

Greatest Common Factor of 81,32,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,32,858 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 81,32,858 . The biggest common factor number is the GCF number.
So the greatest common factor 81,32,858 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 448/81, 749/32, 814/858

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 448/81, 749/32, 814/858?

Answer: LCM of Numerators as per given numbers 448/81, 749/32, 814/858 is

LCM of Numerators i.e. for 448,749,814 is 19509952

GCF of denominators i.e. for 81,32,858 is 1.

Thus, LCM of Fractions is 19509952.Finally, LCM of Fractions for 448/81, 749/32, 814/858 is 19509952.