Least Common Multiple of 905/341, 964/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 905/341, 964/998 quickly i.e. 872420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/341, 964/998 is 872420.

LCM(905/341, 964/998) = 872420

LCM of 905/341, 964/998

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 905/341,964/998

Given numbers are 905/341,964/998

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 905,964

Least Common Multiple of Numerators i.e. LCM of 905,964 is 872420.

GCF of Denominators means GCF of 341,998 as per the given fractions.

GCF of 341,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,964

LCM of Fractions 905/341,964/998 is 872420

Given numbers has no common factors except 1. So, there LCM is their product i.e 872420

Least Common Multiple of 905,964 with GCF Formula

Least Common Multiple of 905,964 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 905,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,964) = 1

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

GCF(905,964) x common factors =1 x 1 = 1

LCM(905,964) = ( 905 × 964 ) / 1

LCM(905,964) = 872420 / 1

LCM(905,964) = 872420


Lets's calculate GCF of 341,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872420/1

Therefore the LCM of Fractions 905/341,964/998 is 872420

Greatest Common Factor of 341,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,998 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 341,998 . The biggest common factor number is the GCF number.
So the greatest common factor 341,998 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 905/341, 964/998

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 905/341, 964/998?

Answer: LCM of Numerators as per given numbers 905/341, 964/998 is

LCM of Numerators i.e. for 905,964 is 872420

GCF of denominators i.e. for 341,998 is 1.

Thus, LCM of Fractions is 872420.Finally, LCM of Fractions for 905/341, 964/998 is 872420.