Least Common Multiple of 19/962, 45/149, 161/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/962, 45/149, 161/613 quickly i.e. 137655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/962, 45/149, 161/613 is 137655.

LCM(19/962, 45/149, 161/613) = 137655

LCM of 19/962, 45/149, 161/613

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 19/962,45/149,161/613

Given numbers are 19/962,45/149,161/613

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 19,45,161

Least Common Multiple of Numerators i.e. LCM of 19,45,161 is 137655.

GCF of Denominators means GCF of 962,149,613 as per the given fractions.

GCF of 962,149,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,45,161

LCM of Fractions 19/962,45/149,161/613 is 137655

Given numbers has no common factors except 1. So, there LCM is their product i.e 137655

Least Common Multiple of 19,45,161 with GCF Formula

Least Common Multiple of 19,45,161 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 19,45,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,45,161) = 1

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

GCF(19,45,161) x common factors =1 x 1 = 1

LCM(19,45,161) = ( 19 × 45 × 161 ) / 1

LCM(19,45,161) = 137655 / 1

LCM(19,45,161) = 137655


Lets's calculate GCF of 962,149,613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137655/1

Therefore the LCM of Fractions 19/962,45/149,161/613 is 137655

Greatest Common Factor of 962,149,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,149,613 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 962,149,613 . The biggest common factor number is the GCF number.
So the greatest common factor 962,149,613 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 19/962, 45/149, 161/613

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 19/962, 45/149, 161/613?

Answer: LCM of Numerators as per given numbers 19/962, 45/149, 161/613 is

LCM of Numerators i.e. for 19,45,161 is 137655

GCF of denominators i.e. for 962,149,613 is 1.

Thus, LCM of Fractions is 137655.Finally, LCM of Fractions for 19/962, 45/149, 161/613 is 137655.