Least Common Multiple of 498/821, 3884/7591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/821, 3884/7591 quickly i.e. 967116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/821, 3884/7591 is 967116.

LCM(498/821, 3884/7591) = 967116

LCM of 498/821, 3884/7591

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 498/821,3884/7591

Given numbers are 498/821,3884/7591

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 498,3884

Least Common Multiple of Numerators i.e. LCM of 498,3884 is 967116.

GCF of Denominators means GCF of 821,7591 as per the given fractions.

GCF of 821,7591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,3884

LCM of Fractions 498/821,3884/7591 is 967116

2 498, 3884
249, 1942

∴ So the LCM of the given numbers is 2 x 249 x 1942 = 967116

Least Common Multiple of 498,3884 with GCF Formula

Least Common Multiple of 498,3884 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 498,3884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,3884) = 2

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

GCF(498,3884) x common factors =2 x 1 = 2

LCM(498,3884) = ( 498 × 3884 ) / 2

LCM(498,3884) = 1934232 / 2

LCM(498,3884) = 967116


Lets's calculate GCF of 821,7591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967116/1

Therefore the LCM of Fractions 498/821,3884/7591 is 967116

Greatest Common Factor of 821,7591 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,7591 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 7591

List of positive integer factors of 7591 that divides 7591 without a remainder.

1,7591

Greatest Common Factor

We found the factors 821,7591 . The biggest common factor number is the GCF number.
So the greatest common factor 821,7591 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 498/821, 3884/7591

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 498/821, 3884/7591?

Answer: LCM of Numerators as per given numbers 498/821, 3884/7591 is

LCM of Numerators i.e. for 498,3884 is 967116

GCF of denominators i.e. for 821,7591 is 1.

Thus, LCM of Fractions is 967116.Finally, LCM of Fractions for 498/821, 3884/7591 is 967116.