Least Common Multiple of 690/714, 1848/9231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/714, 1848/9231 quickly i.e. 212520/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/714, 1848/9231 is 212520/51.

LCM(690/714, 1848/9231) = 212520/51

LCM of 690/714, 1848/9231

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 690/714,1848/9231

Given numbers are 690/714,1848/9231

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 690,1848

Least Common Multiple of Numerators i.e. LCM of 690,1848 is 212520.

GCF of Denominators means GCF of 714,9231 as per the given fractions.

GCF of 714,9231 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,1848

LCM of Fractions 690/714,1848/9231 is 212520/51

2 690, 1848
3 345, 924
115, 308

∴ So the LCM of the given numbers is 2 x 3 x 115 x 308 = 212520

Least Common Multiple of 690,1848 with GCF Formula

Least Common Multiple of 690,1848 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 690,1848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,1848) = 6

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

GCF(690,1848) x common factors =6 x 1 = 6

LCM(690,1848) = ( 690 × 1848 ) / 6

LCM(690,1848) = 1275120 / 6

LCM(690,1848) = 212520


Lets's calculate GCF of 714,9231

3 714, 9231
17 238, 3077
14, 181

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212520/51

Therefore the LCM of Fractions 690/714,1848/9231 is 212520/51

Greatest Common Factor of 714,9231 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,9231 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 9231

List of positive integer factors of 9231 that divides 9231 without a remainder.

1,3,17,51,181,543,3077,9231

Greatest Common Factor

We found the factors 714,9231 . The biggest common factor number is the GCF number.
So the greatest common factor 714,9231 is 51.


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 690/714, 1848/9231

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 690/714, 1848/9231?

Answer: LCM of Numerators as per given numbers 690/714, 1848/9231 is

LCM of Numerators i.e. for 690,1848 is 212520

GCF of denominators i.e. for 714,9231 is 51.

Thus, LCM of Fractions is 212520/51.Finally, LCM of Fractions for 690/714, 1848/9231 is 212520/51.