Least Common Multiple of 78/496, 43/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/496, 43/341 quickly i.e. 3354/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/496, 43/341 is 3354/31.

LCM(78/496, 43/341) = 3354/31

LCM of 78/496, 43/341

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 78/496,43/341

Given numbers are 78/496,43/341

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 78,43

Least Common Multiple of Numerators i.e. LCM of 78,43 is 3354.

GCF of Denominators means GCF of 496,341 as per the given fractions.

GCF of 496,341 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,43

LCM of Fractions 78/496,43/341 is 3354/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 3354

Least Common Multiple of 78,43 with GCF Formula

Least Common Multiple of 78,43 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 78,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,43) = 1

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

GCF(78,43) x common factors =1 x 1 = 1

LCM(78,43) = ( 78 × 43 ) / 1

LCM(78,43) = 3354 / 1

LCM(78,43) = 3354


Lets's calculate GCF of 496,341

31 496, 341
16, 11

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3354/31

Therefore the LCM of Fractions 78/496,43/341 is 3354/31

Greatest Common Factor of 496,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,341 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 496,341 . The biggest common factor number is the GCF number.
So the greatest common factor 496,341 is 31.


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 78/496, 43/341

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 78/496, 43/341?

Answer: LCM of Numerators as per given numbers 78/496, 43/341 is

LCM of Numerators i.e. for 78,43 is 3354

GCF of denominators i.e. for 496,341 is 31.

Thus, LCM of Fractions is 3354/31.Finally, LCM of Fractions for 78/496, 43/341 is 3354/31.