Least Common Multiple of 465/403, 8942/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 465/403, 8942/981 quickly i.e. 4158030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/403, 8942/981 is 4158030.

LCM(465/403, 8942/981) = 4158030

LCM of 465/403, 8942/981

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 465/403,8942/981

Given numbers are 465/403,8942/981

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 465,8942

Least Common Multiple of Numerators i.e. LCM of 465,8942 is 4158030.

GCF of Denominators means GCF of 403,981 as per the given fractions.

GCF of 403,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,8942

LCM of Fractions 465/403,8942/981 is 4158030

Given numbers has no common factors except 1. So, there LCM is their product i.e 4158030

Least Common Multiple of 465,8942 with GCF Formula

Least Common Multiple of 465,8942 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 465,8942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,8942) = 1

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

GCF(465,8942) x common factors =1 x 1 = 1

LCM(465,8942) = ( 465 × 8942 ) / 1

LCM(465,8942) = 4158030 / 1

LCM(465,8942) = 4158030


Lets's calculate GCF of 403,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158030/1

Therefore the LCM of Fractions 465/403,8942/981 is 4158030

Greatest Common Factor of 403,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,981 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 403,981 . The biggest common factor number is the GCF number.
So the greatest common factor 403,981 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 465/403, 8942/981

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 465/403, 8942/981?

Answer: LCM of Numerators as per given numbers 465/403, 8942/981 is

LCM of Numerators i.e. for 465,8942 is 4158030

GCF of denominators i.e. for 403,981 is 1.

Thus, LCM of Fractions is 4158030.Finally, LCM of Fractions for 465/403, 8942/981 is 4158030.