Least Common Multiple of 414/32, 493/78, 705/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/32, 493/78, 705/513 quickly i.e. 47963970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/32, 493/78, 705/513 is 47963970.

LCM(414/32, 493/78, 705/513) = 47963970

LCM of 414/32, 493/78, 705/513

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 414/32,493/78,705/513

Given numbers are 414/32,493/78,705/513

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 414,493,705

Least Common Multiple of Numerators i.e. LCM of 414,493,705 is 47963970.

GCF of Denominators means GCF of 32,78,513 as per the given fractions.

GCF of 32,78,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,493,705

LCM of Fractions 414/32,493/78,705/513 is 47963970

3 414, 493, 705
138, 493, 235

∴ So the LCM of the given numbers is 3 x 138 x 493 x 235 = 47963970

Least Common Multiple of 414,493,705 with GCF Formula

Least Common Multiple of 414,493,705 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 414,493,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,493,705) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(414,493,705) x common factors =1 x 3 = 3

LCM(414,493,705) = ( 414 × 493 × 705 ) / 3

LCM(414,493,705) = 143891910 / 3

LCM(414,493,705) = 47963970


Lets's calculate GCF of 32,78,513

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47963970/1

Therefore the LCM of Fractions 414/32,493/78,705/513 is 47963970

Greatest Common Factor of 32,78,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,78,513 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 32,78,513 . The biggest common factor number is the GCF number.
So the greatest common factor 32,78,513 is 1.


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 414/32, 493/78, 705/513

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 414/32, 493/78, 705/513?

Answer: LCM of Numerators as per given numbers 414/32, 493/78, 705/513 is

LCM of Numerators i.e. for 414,493,705 is 47963970

GCF of denominators i.e. for 32,78,513 is 1.

Thus, LCM of Fractions is 47963970.Finally, LCM of Fractions for 414/32, 493/78, 705/513 is 47963970.