Least Common Multiple of 416/227, 685/679, 348/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/227, 685/679, 348/598 quickly i.e. 24791520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/227, 685/679, 348/598 is 24791520.

LCM(416/227, 685/679, 348/598) = 24791520

LCM of 416/227, 685/679, 348/598

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 416/227,685/679,348/598

Given numbers are 416/227,685/679,348/598

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 416,685,348

Least Common Multiple of Numerators i.e. LCM of 416,685,348 is 24791520.

GCF of Denominators means GCF of 227,679,598 as per the given fractions.

GCF of 227,679,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,685,348

LCM of Fractions 416/227,685/679,348/598 is 24791520

2 416, 685, 348
2 208, 685, 174
104, 685, 87

∴ So the LCM of the given numbers is 2 x 2 x 104 x 685 x 87 = 24791520

Least Common Multiple of 416,685,348 with GCF Formula

Least Common Multiple of 416,685,348 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 416,685,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,685,348) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(416,685,348) x common factors =1 x 4 = 4

LCM(416,685,348) = ( 416 × 685 × 348 ) / 4

LCM(416,685,348) = 99166080 / 4

LCM(416,685,348) = 24791520


Lets's calculate GCF of 227,679,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24791520/1

Therefore the LCM of Fractions 416/227,685/679,348/598 is 24791520

Greatest Common Factor of 227,679,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,679,598 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 227,679,598 . The biggest common factor number is the GCF number.
So the greatest common factor 227,679,598 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 416/227, 685/679, 348/598

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 416/227, 685/679, 348/598?

Answer: LCM of Numerators as per given numbers 416/227, 685/679, 348/598 is

LCM of Numerators i.e. for 416,685,348 is 24791520

GCF of denominators i.e. for 227,679,598 is 1.

Thus, LCM of Fractions is 24791520.Finally, LCM of Fractions for 416/227, 685/679, 348/598 is 24791520.