Least Common Multiple of 814/244, 9958/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/244, 9958/342 quickly i.e. 2026453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/244, 9958/342 is 2026453.

LCM(814/244, 9958/342) = 2026453

LCM of 814/244, 9958/342

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 814/244,9958/342

Given numbers are 814/244,9958/342

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 814,9958

Least Common Multiple of Numerators i.e. LCM of 814,9958 is 4052906.

GCF of Denominators means GCF of 244,342 as per the given fractions.

GCF of 244,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,9958

LCM of Fractions 814/244,9958/342 is 2026453

2 814, 9958
407, 4979

∴ So the LCM of the given numbers is 2 x 407 x 4979 = 4052906

Least Common Multiple of 814,9958 with GCF Formula

Least Common Multiple of 814,9958 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 814,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,9958) = 2

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

GCF(814,9958) x common factors =2 x 1 = 2

LCM(814,9958) = ( 814 × 9958 ) / 2

LCM(814,9958) = 8105812 / 2

LCM(814,9958) = 4052906


Lets's calculate GCF of 244,342

2 244, 342
122, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4052906/2

Therefore the LCM of Fractions 814/244,9958/342 is 2026453

Greatest Common Factor of 244,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,342 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 244,342 . The biggest common factor number is the GCF number.
So the greatest common factor 244,342 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 814/244, 9958/342

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 814/244, 9958/342?

Answer: LCM of Numerators as per given numbers 814/244, 9958/342 is

LCM of Numerators i.e. for 814,9958 is 4052906

GCF of denominators i.e. for 244,342 is 2.

Thus, LCM of Fractions is 2026453.Finally, LCM of Fractions for 814/244, 9958/342 is 2026453.