Least Common Multiple of 41/833, 989/400, 382/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/833, 989/400, 382/762 quickly i.e. 15489718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/833, 989/400, 382/762 is 15489718.

LCM(41/833, 989/400, 382/762) = 15489718

LCM of 41/833, 989/400, 382/762

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 41/833,989/400,382/762

Given numbers are 41/833,989/400,382/762

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 41,989,382

Least Common Multiple of Numerators i.e. LCM of 41,989,382 is 15489718.

GCF of Denominators means GCF of 833,400,762 as per the given fractions.

GCF of 833,400,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,989,382

LCM of Fractions 41/833,989/400,382/762 is 15489718

Given numbers has no common factors except 1. So, there LCM is their product i.e 15489718

Least Common Multiple of 41,989,382 with GCF Formula

Least Common Multiple of 41,989,382 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 41,989,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,989,382) = 1

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

GCF(41,989,382) x common factors =1 x 1 = 1

LCM(41,989,382) = ( 41 × 989 × 382 ) / 1

LCM(41,989,382) = 15489718 / 1

LCM(41,989,382) = 15489718


Lets's calculate GCF of 833,400,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15489718/1

Therefore the LCM of Fractions 41/833,989/400,382/762 is 15489718

Greatest Common Factor of 833,400,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,400,762 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 833,400,762 . The biggest common factor number is the GCF number.
So the greatest common factor 833,400,762 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 41/833, 989/400, 382/762

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 41/833, 989/400, 382/762?

Answer: LCM of Numerators as per given numbers 41/833, 989/400, 382/762 is

LCM of Numerators i.e. for 41,989,382 is 15489718

GCF of denominators i.e. for 833,400,762 is 1.

Thus, LCM of Fractions is 15489718.Finally, LCM of Fractions for 41/833, 989/400, 382/762 is 15489718.