Least Common Multiple of 41/155, 869/614, 890/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/155, 869/614, 890/322 quickly i.e. 31709810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/155, 869/614, 890/322 is 31709810.

LCM(41/155, 869/614, 890/322) = 31709810

LCM of 41/155, 869/614, 890/322

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 41/155,869/614,890/322

Given numbers are 41/155,869/614,890/322

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 41,869,890

Least Common Multiple of Numerators i.e. LCM of 41,869,890 is 31709810.

GCF of Denominators means GCF of 155,614,322 as per the given fractions.

GCF of 155,614,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,869,890

LCM of Fractions 41/155,869/614,890/322 is 31709810

Given numbers has no common factors except 1. So, there LCM is their product i.e 31709810

Least Common Multiple of 41,869,890 with GCF Formula

Least Common Multiple of 41,869,890 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 41,869,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,869,890) = 1

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

GCF(41,869,890) x common factors =1 x 1 = 1

LCM(41,869,890) = ( 41 × 869 × 890 ) / 1

LCM(41,869,890) = 31709810 / 1

LCM(41,869,890) = 31709810


Lets's calculate GCF of 155,614,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31709810/1

Therefore the LCM of Fractions 41/155,869/614,890/322 is 31709810

Greatest Common Factor of 155,614,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,614,322 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 614

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

1,2,307,614

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 155,614,322 . The biggest common factor number is the GCF number.
So the greatest common factor 155,614,322 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 41/155, 869/614, 890/322

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 41/155, 869/614, 890/322?

Answer: LCM of Numerators as per given numbers 41/155, 869/614, 890/322 is

LCM of Numerators i.e. for 41,869,890 is 31709810

GCF of denominators i.e. for 155,614,322 is 1.

Thus, LCM of Fractions is 31709810.Finally, LCM of Fractions for 41/155, 869/614, 890/322 is 31709810.