Least Common Multiple of 619/740, 803/442, 187/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 619/740, 803/442, 187/306 quickly i.e. 8449969/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 619/740, 803/442, 187/306 is 8449969/2.

LCM(619/740, 803/442, 187/306) = 8449969/2

LCM of 619/740, 803/442, 187/306

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 619/740,803/442,187/306

Given numbers are 619/740,803/442,187/306

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 619,803,187

Least Common Multiple of Numerators i.e. LCM of 619,803,187 is 8449969.

GCF of Denominators means GCF of 740,442,306 as per the given fractions.

GCF of 740,442,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 619,803,187

LCM of Fractions 619/740,803/442,187/306 is 8449969/2

11 619, 803, 187
619, 73, 17

∴ So the LCM of the given numbers is 11 x 619 x 73 x 17 = 8449969

Least Common Multiple of 619,803,187 with GCF Formula

Least Common Multiple of 619,803,187 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 619,803,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,803,187) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(619,803,187) x common factors =1 x 11 = 11

LCM(619,803,187) = ( 619 × 803 × 187 ) / 11

LCM(619,803,187) = 92949659 / 11

LCM(619,803,187) = 8449969


Lets's calculate GCF of 740,442,306

2 740, 442, 306
370, 221, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8449969/2

Therefore the LCM of Fractions 619/740,803/442,187/306 is 8449969/2

Greatest Common Factor of 740,442,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,442,306 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

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 740,442,306 . The biggest common factor number is the GCF number.
So the greatest common factor 740,442,306 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 619/740, 803/442, 187/306

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 619/740, 803/442, 187/306?

Answer: LCM of Numerators as per given numbers 619/740, 803/442, 187/306 is

LCM of Numerators i.e. for 619,803,187 is 8449969

GCF of denominators i.e. for 740,442,306 is 2.

Thus, LCM of Fractions is 8449969/2.Finally, LCM of Fractions for 619/740, 803/442, 187/306 is 8449969/2.