Least Common Multiple of 59/650, 84/361, 603/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/650, 84/361, 603/614 quickly i.e. 996156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/650, 84/361, 603/614 is 996156.

LCM(59/650, 84/361, 603/614) = 996156

LCM of 59/650, 84/361, 603/614

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 59/650,84/361,603/614

Given numbers are 59/650,84/361,603/614

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 59,84,603

Least Common Multiple of Numerators i.e. LCM of 59,84,603 is 996156.

GCF of Denominators means GCF of 650,361,614 as per the given fractions.

GCF of 650,361,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,84,603

LCM of Fractions 59/650,84/361,603/614 is 996156

3 59, 84, 603
59, 28, 201

∴ So the LCM of the given numbers is 3 x 59 x 28 x 201 = 996156

Least Common Multiple of 59,84,603 with GCF Formula

Least Common Multiple of 59,84,603 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 59,84,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,84,603) = 1

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

GCF(59,84,603) x common factors =1 x 3 = 3

LCM(59,84,603) = ( 59 × 84 × 603 ) / 3

LCM(59,84,603) = 2988468 / 3

LCM(59,84,603) = 996156


Lets's calculate GCF of 650,361,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996156/1

Therefore the LCM of Fractions 59/650,84/361,603/614 is 996156

Greatest Common Factor of 650,361,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,361,614 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 614

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

1,2,307,614

Greatest Common Factor

We found the factors 650,361,614 . The biggest common factor number is the GCF number.
So the greatest common factor 650,361,614 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 59/650, 84/361, 603/614

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 59/650, 84/361, 603/614?

Answer: LCM of Numerators as per given numbers 59/650, 84/361, 603/614 is

LCM of Numerators i.e. for 59,84,603 is 996156

GCF of denominators i.e. for 650,361,614 is 1.

Thus, LCM of Fractions is 996156.Finally, LCM of Fractions for 59/650, 84/361, 603/614 is 996156.