Least Common Multiple of 417/62, 898/80, 760/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/62, 898/80, 760/412 quickly i.e. 71148540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/62, 898/80, 760/412 is 71148540.

LCM(417/62, 898/80, 760/412) = 71148540

LCM of 417/62, 898/80, 760/412

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 417/62,898/80,760/412

Given numbers are 417/62,898/80,760/412

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 417,898,760

Least Common Multiple of Numerators i.e. LCM of 417,898,760 is 142297080.

GCF of Denominators means GCF of 62,80,412 as per the given fractions.

GCF of 62,80,412 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,898,760

LCM of Fractions 417/62,898/80,760/412 is 71148540

2 417, 898, 760
417, 449, 380

∴ So the LCM of the given numbers is 2 x 417 x 449 x 380 = 142297080

Least Common Multiple of 417,898,760 with GCF Formula

Least Common Multiple of 417,898,760 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 417,898,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,898,760) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(417,898,760) x common factors =1 x 2 = 2

LCM(417,898,760) = ( 417 × 898 × 760 ) / 2

LCM(417,898,760) = 284594160 / 2

LCM(417,898,760) = 142297080


Lets's calculate GCF of 62,80,412

2 62, 80, 412
31, 40, 206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142297080/2

Therefore the LCM of Fractions 417/62,898/80,760/412 is 71148540

Greatest Common Factor of 62,80,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,80,412 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 62,80,412 . The biggest common factor number is the GCF number.
So the greatest common factor 62,80,412 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 417/62, 898/80, 760/412

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 417/62, 898/80, 760/412?

Answer: LCM of Numerators as per given numbers 417/62, 898/80, 760/412 is

LCM of Numerators i.e. for 417,898,760 is 142297080

GCF of denominators i.e. for 62,80,412 is 2.

Thus, LCM of Fractions is 71148540.Finally, LCM of Fractions for 417/62, 898/80, 760/412 is 71148540.