Least Common Multiple of 690/92, 306/1106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/92, 306/1106 quickly i.e. 17595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/92, 306/1106 is 17595.

LCM(690/92, 306/1106) = 17595

LCM of 690/92, 306/1106

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 690/92,306/1106

Given numbers are 690/92,306/1106

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 690,306

Least Common Multiple of Numerators i.e. LCM of 690,306 is 35190.

GCF of Denominators means GCF of 92,1106 as per the given fractions.

GCF of 92,1106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,306

LCM of Fractions 690/92,306/1106 is 17595

2 690, 306
3 345, 153
115, 51

∴ So the LCM of the given numbers is 2 x 3 x 115 x 51 = 35190

Least Common Multiple of 690,306 with GCF Formula

Least Common Multiple of 690,306 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 690,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,306) = 6

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

GCF(690,306) x common factors =6 x 1 = 6

LCM(690,306) = ( 690 × 306 ) / 6

LCM(690,306) = 211140 / 6

LCM(690,306) = 35190


Lets's calculate GCF of 92,1106

2 92, 1106
46, 553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35190/2

Therefore the LCM of Fractions 690/92,306/1106 is 17595

Greatest Common Factor of 92,1106 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,1106 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1,2,7,14,79,158,553,1106

Greatest Common Factor

We found the factors 92,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 92,1106 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 690/92, 306/1106

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 690/92, 306/1106?

Answer: LCM of Numerators as per given numbers 690/92, 306/1106 is

LCM of Numerators i.e. for 690,306 is 35190

GCF of denominators i.e. for 92,1106 is 2.

Thus, LCM of Fractions is 17595.Finally, LCM of Fractions for 690/92, 306/1106 is 17595.