Least Common Multiple of 9826/44, 9758/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9826/44, 9758/924 quickly i.e. 2820062/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9826/44, 9758/924 is 2820062/44.

LCM(9826/44, 9758/924) = 2820062/44

LCM of 9826/44, 9758/924

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 9826/44,9758/924

Given numbers are 9826/44,9758/924

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 9826,9758

Least Common Multiple of Numerators i.e. LCM of 9826,9758 is 2820062.

GCF of Denominators means GCF of 44,924 as per the given fractions.

GCF of 44,924 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9826,9758

LCM of Fractions 9826/44,9758/924 is 2820062/44

2 9826, 9758
17 4913, 4879
289, 287

∴ So the LCM of the given numbers is 2 x 17 x 289 x 287 = 2820062

Least Common Multiple of 9826,9758 with GCF Formula

Least Common Multiple of 9826,9758 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 9826,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9826,9758) = 34

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

GCF(9826,9758) x common factors =34 x 1 = 34

LCM(9826,9758) = ( 9826 × 9758 ) / 34

LCM(9826,9758) = 95882108 / 34

LCM(9826,9758) = 2820062


Lets's calculate GCF of 44,924

2 44, 924
2 22, 462
11 11, 231
1, 21

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2820062/44

Therefore the LCM of Fractions 9826/44,9758/924 is 2820062/44

Greatest Common Factor of 44,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,924 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 44,924 . The biggest common factor number is the GCF number.
So the greatest common factor 44,924 is 44.


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 9826/44, 9758/924

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 9826/44, 9758/924?

Answer: LCM of Numerators as per given numbers 9826/44, 9758/924 is

LCM of Numerators i.e. for 9826,9758 is 2820062

GCF of denominators i.e. for 44,924 is 44.

Thus, LCM of Fractions is 2820062/44.Finally, LCM of Fractions for 9826/44, 9758/924 is 2820062/44.