Least Common Multiple of 1736/827, 1422/1568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1736/827, 1422/1568 quickly i.e. 1234296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1736/827, 1422/1568 is 1234296.

LCM(1736/827, 1422/1568) = 1234296

LCM of 1736/827, 1422/1568

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 1736/827,1422/1568

Given numbers are 1736/827,1422/1568

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 1736,1422

Least Common Multiple of Numerators i.e. LCM of 1736,1422 is 1234296.

GCF of Denominators means GCF of 827,1568 as per the given fractions.

GCF of 827,1568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1736,1422

LCM of Fractions 1736/827,1422/1568 is 1234296

2 1736, 1422
868, 711

∴ So the LCM of the given numbers is 2 x 868 x 711 = 1234296

Least Common Multiple of 1736,1422 with GCF Formula

Least Common Multiple of 1736,1422 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 1736,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1736,1422) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1736,1422) x common factors =2 x 1 = 2

LCM(1736,1422) = ( 1736 × 1422 ) / 2

LCM(1736,1422) = 2468592 / 2

LCM(1736,1422) = 1234296


Lets's calculate GCF of 827,1568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1234296/1

Therefore the LCM of Fractions 1736/827,1422/1568 is 1234296

Greatest Common Factor of 827,1568 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,1568 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 1568

List of positive integer factors of 1568 that divides 1568 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568

Greatest Common Factor

We found the factors 827,1568 . The biggest common factor number is the GCF number.
So the greatest common factor 827,1568 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 1736/827, 1422/1568

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 1736/827, 1422/1568?

Answer: LCM of Numerators as per given numbers 1736/827, 1422/1568 is

LCM of Numerators i.e. for 1736,1422 is 1234296

GCF of denominators i.e. for 827,1568 is 1.

Thus, LCM of Fractions is 1234296.Finally, LCM of Fractions for 1736/827, 1422/1568 is 1234296.