Least Common Multiple of 691/34, 1842/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/34, 1842/554 quickly i.e. 636411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/34, 1842/554 is 636411.

LCM(691/34, 1842/554) = 636411

LCM of 691/34, 1842/554

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 691/34,1842/554

Given numbers are 691/34,1842/554

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 691,1842

Least Common Multiple of Numerators i.e. LCM of 691,1842 is 1272822.

GCF of Denominators means GCF of 34,554 as per the given fractions.

GCF of 34,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,1842

LCM of Fractions 691/34,1842/554 is 636411

Given numbers has no common factors except 1. So, there LCM is their product i.e 1272822

Least Common Multiple of 691,1842 with GCF Formula

Least Common Multiple of 691,1842 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 691,1842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,1842) = 1

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

GCF(691,1842) x common factors =1 x 1 = 1

LCM(691,1842) = ( 691 × 1842 ) / 1

LCM(691,1842) = 1272822 / 1

LCM(691,1842) = 1272822


Lets's calculate GCF of 34,554

2 34, 554
17, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1272822/2

Therefore the LCM of Fractions 691/34,1842/554 is 636411

Greatest Common Factor of 34,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,554 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 34,554 . The biggest common factor number is the GCF number.
So the greatest common factor 34,554 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 691/34, 1842/554

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 691/34, 1842/554?

Answer: LCM of Numerators as per given numbers 691/34, 1842/554 is

LCM of Numerators i.e. for 691,1842 is 1272822

GCF of denominators i.e. for 34,554 is 2.

Thus, LCM of Fractions is 636411.Finally, LCM of Fractions for 691/34, 1842/554 is 636411.