Least Common Multiple of 340/44, 690/2282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/44, 690/2282 quickly i.e. 11730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/44, 690/2282 is 11730.

LCM(340/44, 690/2282) = 11730

LCM of 340/44, 690/2282

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 340/44,690/2282

Given numbers are 340/44,690/2282

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 340,690

Least Common Multiple of Numerators i.e. LCM of 340,690 is 23460.

GCF of Denominators means GCF of 44,2282 as per the given fractions.

GCF of 44,2282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,690

LCM of Fractions 340/44,690/2282 is 11730

2 340, 690
5 170, 345
34, 69

∴ So the LCM of the given numbers is 2 x 5 x 34 x 69 = 23460

Least Common Multiple of 340,690 with GCF Formula

Least Common Multiple of 340,690 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 340,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,690) = 10

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

GCF(340,690) x common factors =10 x 1 = 10

LCM(340,690) = ( 340 × 690 ) / 10

LCM(340,690) = 234600 / 10

LCM(340,690) = 23460


Lets's calculate GCF of 44,2282

2 44, 2282
22, 1141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23460/2

Therefore the LCM of Fractions 340/44,690/2282 is 11730

Greatest Common Factor of 44,2282 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,2282 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 2282

List of positive integer factors of 2282 that divides 2282 without a remainder.

1,2,7,14,163,326,1141,2282

Greatest Common Factor

We found the factors 44,2282 . The biggest common factor number is the GCF number.
So the greatest common factor 44,2282 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 340/44, 690/2282

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 340/44, 690/2282?

Answer: LCM of Numerators as per given numbers 340/44, 690/2282 is

LCM of Numerators i.e. for 340,690 is 23460

GCF of denominators i.e. for 44,2282 is 2.

Thus, LCM of Fractions is 11730.Finally, LCM of Fractions for 340/44, 690/2282 is 11730.