Least Common Multiple of 719/169, 601/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 719/169, 601/616 quickly i.e. 432119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/169, 601/616 is 432119.

LCM(719/169, 601/616) = 432119

LCM of 719/169, 601/616

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 719/169,601/616

Given numbers are 719/169,601/616

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 719,601

Least Common Multiple of Numerators i.e. LCM of 719,601 is 432119.

GCF of Denominators means GCF of 169,616 as per the given fractions.

GCF of 169,616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,601

LCM of Fractions 719/169,601/616 is 432119

Given numbers has no common factors except 1. So, there LCM is their product i.e 432119

Least Common Multiple of 719,601 with GCF Formula

Least Common Multiple of 719,601 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 719,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,601) = 1

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

GCF(719,601) x common factors =1 x 1 = 1

LCM(719,601) = ( 719 × 601 ) / 1

LCM(719,601) = 432119 / 1

LCM(719,601) = 432119


Lets's calculate GCF of 169,616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432119/1

Therefore the LCM of Fractions 719/169,601/616 is 432119

Greatest Common Factor of 169,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,616 By Matching Biggest Common Factor Method

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 169,616 . The biggest common factor number is the GCF number.
So the greatest common factor 169,616 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 719/169, 601/616

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 719/169, 601/616?

Answer: LCM of Numerators as per given numbers 719/169, 601/616 is

LCM of Numerators i.e. for 719,601 is 432119

GCF of denominators i.e. for 169,616 is 1.

Thus, LCM of Fractions is 432119.Finally, LCM of Fractions for 719/169, 601/616 is 432119.