Least Common Multiple of 10/614, 73/358, 224/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/614, 73/358, 224/306 quickly i.e. 40880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/614, 73/358, 224/306 is 40880.

LCM(10/614, 73/358, 224/306) = 40880

LCM of 10/614, 73/358, 224/306

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 10/614,73/358,224/306

Given numbers are 10/614,73/358,224/306

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 10,73,224

Least Common Multiple of Numerators i.e. LCM of 10,73,224 is 81760.

GCF of Denominators means GCF of 614,358,306 as per the given fractions.

GCF of 614,358,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,73,224

LCM of Fractions 10/614,73/358,224/306 is 40880

2 10, 73, 224
5, 73, 112

∴ So the LCM of the given numbers is 2 x 5 x 73 x 112 = 81760

Least Common Multiple of 10,73,224 with GCF Formula

Least Common Multiple of 10,73,224 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 10,73,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,73,224) = 1

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

GCF(10,73,224) x common factors =1 x 2 = 2

LCM(10,73,224) = ( 10 × 73 × 224 ) / 2

LCM(10,73,224) = 163520 / 2

LCM(10,73,224) = 81760


Lets's calculate GCF of 614,358,306

2 614, 358, 306
307, 179, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81760/2

Therefore the LCM of Fractions 10/614,73/358,224/306 is 40880

Greatest Common Factor of 614,358,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,358,306 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 614,358,306 . The biggest common factor number is the GCF number.
So the greatest common factor 614,358,306 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 10/614, 73/358, 224/306

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 10/614, 73/358, 224/306?

Answer: LCM of Numerators as per given numbers 10/614, 73/358, 224/306 is

LCM of Numerators i.e. for 10,73,224 is 81760

GCF of denominators i.e. for 614,358,306 is 2.

Thus, LCM of Fractions is 40880.Finally, LCM of Fractions for 10/614, 73/358, 224/306 is 40880.