Least Common Multiple of 73/614, 352/362, 169/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/614, 352/362, 169/835 quickly i.e. 4342624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/614, 352/362, 169/835 is 4342624.

LCM(73/614, 352/362, 169/835) = 4342624

LCM of 73/614, 352/362, 169/835

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 73/614,352/362,169/835

Given numbers are 73/614,352/362,169/835

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 73,352,169

Least Common Multiple of Numerators i.e. LCM of 73,352,169 is 4342624.

GCF of Denominators means GCF of 614,362,835 as per the given fractions.

GCF of 614,362,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,352,169

LCM of Fractions 73/614,352/362,169/835 is 4342624

Given numbers has no common factors except 1. So, there LCM is their product i.e 4342624

Least Common Multiple of 73,352,169 with GCF Formula

Least Common Multiple of 73,352,169 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 73,352,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,352,169) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,352,169) x common factors =1 x 1 = 1

LCM(73,352,169) = ( 73 × 352 × 169 ) / 1

LCM(73,352,169) = 4342624 / 1

LCM(73,352,169) = 4342624


Lets's calculate GCF of 614,362,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4342624/1

Therefore the LCM of Fractions 73/614,352/362,169/835 is 4342624

Greatest Common Factor of 614,362,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,362,835 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 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 614,362,835 . The biggest common factor number is the GCF number.
So the greatest common factor 614,362,835 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 73/614, 352/362, 169/835

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 73/614, 352/362, 169/835?

Answer: LCM of Numerators as per given numbers 73/614, 352/362, 169/835 is

LCM of Numerators i.e. for 73,352,169 is 4342624

GCF of denominators i.e. for 614,362,835 is 1.

Thus, LCM of Fractions is 4342624.Finally, LCM of Fractions for 73/614, 352/362, 169/835 is 4342624.