Least Common Multiple of 344/624, 9719/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/624, 9719/340 quickly i.e. 835834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/624, 9719/340 is 835834.

LCM(344/624, 9719/340) = 835834

LCM of 344/624, 9719/340

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 344/624,9719/340

Given numbers are 344/624,9719/340

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 344,9719

Least Common Multiple of Numerators i.e. LCM of 344,9719 is 3343336.

GCF of Denominators means GCF of 624,340 as per the given fractions.

GCF of 624,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,9719

LCM of Fractions 344/624,9719/340 is 835834

Given numbers has no common factors except 1. So, there LCM is their product i.e 3343336

Least Common Multiple of 344,9719 with GCF Formula

Least Common Multiple of 344,9719 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 344,9719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,9719) = 1

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

GCF(344,9719) x common factors =1 x 1 = 1

LCM(344,9719) = ( 344 × 9719 ) / 1

LCM(344,9719) = 3343336 / 1

LCM(344,9719) = 3343336


Lets's calculate GCF of 624,340

2 624, 340
2 312, 170
156, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3343336/4

Therefore the LCM of Fractions 344/624,9719/340 is 835834

Greatest Common Factor of 624,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,340 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 624,340 . The biggest common factor number is the GCF number.
So the greatest common factor 624,340 is 4.


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 344/624, 9719/340

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 344/624, 9719/340?

Answer: LCM of Numerators as per given numbers 344/624, 9719/340 is

LCM of Numerators i.e. for 344,9719 is 3343336

GCF of denominators i.e. for 624,340 is 4.

Thus, LCM of Fractions is 835834.Finally, LCM of Fractions for 344/624, 9719/340 is 835834.