Least Common Multiple of 11/504, 299/848, 754/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/504, 299/848, 754/982 quickly i.e. 95381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/504, 299/848, 754/982 is 95381.

LCM(11/504, 299/848, 754/982) = 95381

LCM of 11/504, 299/848, 754/982

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 11/504,299/848,754/982

Given numbers are 11/504,299/848,754/982

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 11,299,754

Least Common Multiple of Numerators i.e. LCM of 11,299,754 is 190762.

GCF of Denominators means GCF of 504,848,982 as per the given fractions.

GCF of 504,848,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,299,754

LCM of Fractions 11/504,299/848,754/982 is 95381

13 11, 299, 754
11, 23, 58

∴ So the LCM of the given numbers is 13 x 11 x 23 x 58 = 190762

Least Common Multiple of 11,299,754 with GCF Formula

Least Common Multiple of 11,299,754 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 11,299,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,299,754) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(11,299,754) x common factors =1 x 13 = 13

LCM(11,299,754) = ( 11 × 299 × 754 ) / 13

LCM(11,299,754) = 2479906 / 13

LCM(11,299,754) = 190762


Lets's calculate GCF of 504,848,982

2 504, 848, 982
252, 424, 491

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190762/2

Therefore the LCM of Fractions 11/504,299/848,754/982 is 95381

Greatest Common Factor of 504,848,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,848,982 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 504,848,982 . The biggest common factor number is the GCF number.
So the greatest common factor 504,848,982 is 2.


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 11/504, 299/848, 754/982

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 11/504, 299/848, 754/982?

Answer: LCM of Numerators as per given numbers 11/504, 299/848, 754/982 is

LCM of Numerators i.e. for 11,299,754 is 190762

GCF of denominators i.e. for 504,848,982 is 2.

Thus, LCM of Fractions is 95381.Finally, LCM of Fractions for 11/504, 299/848, 754/982 is 95381.