Least Common Multiple of 41/434, 23/989, 310/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/434, 23/989, 310/597 quickly i.e. 292330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/434, 23/989, 310/597 is 292330.

LCM(41/434, 23/989, 310/597) = 292330

LCM of 41/434, 23/989, 310/597

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 41/434,23/989,310/597

Given numbers are 41/434,23/989,310/597

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 41,23,310

Least Common Multiple of Numerators i.e. LCM of 41,23,310 is 292330.

GCF of Denominators means GCF of 434,989,597 as per the given fractions.

GCF of 434,989,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,23,310

LCM of Fractions 41/434,23/989,310/597 is 292330

Given numbers has no common factors except 1. So, there LCM is their product i.e 292330

Least Common Multiple of 41,23,310 with GCF Formula

Least Common Multiple of 41,23,310 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 41,23,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,23,310) = 1

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

GCF(41,23,310) x common factors =1 x 1 = 1

LCM(41,23,310) = ( 41 × 23 × 310 ) / 1

LCM(41,23,310) = 292330 / 1

LCM(41,23,310) = 292330


Lets's calculate GCF of 434,989,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292330/1

Therefore the LCM of Fractions 41/434,23/989,310/597 is 292330

Greatest Common Factor of 434,989,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,989,597 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 434,989,597 . The biggest common factor number is the GCF number.
So the greatest common factor 434,989,597 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 41/434, 23/989, 310/597

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 41/434, 23/989, 310/597?

Answer: LCM of Numerators as per given numbers 41/434, 23/989, 310/597 is

LCM of Numerators i.e. for 41,23,310 is 292330

GCF of denominators i.e. for 434,989,597 is 1.

Thus, LCM of Fractions is 292330.Finally, LCM of Fractions for 41/434, 23/989, 310/597 is 292330.