Least Common Multiple of 349/496, 528/425, 499/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 349/496, 528/425, 499/101 quickly i.e. 91951728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/496, 528/425, 499/101 is 91951728.

LCM(349/496, 528/425, 499/101) = 91951728

LCM of 349/496, 528/425, 499/101

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 349/496,528/425,499/101

Given numbers are 349/496,528/425,499/101

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 349,528,499

Least Common Multiple of Numerators i.e. LCM of 349,528,499 is 91951728.

GCF of Denominators means GCF of 496,425,101 as per the given fractions.

GCF of 496,425,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,528,499

LCM of Fractions 349/496,528/425,499/101 is 91951728

Given numbers has no common factors except 1. So, there LCM is their product i.e 91951728

Least Common Multiple of 349,528,499 with GCF Formula

Least Common Multiple of 349,528,499 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 349,528,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,528,499) = 1

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

GCF(349,528,499) x common factors =1 x 1 = 1

LCM(349,528,499) = ( 349 × 528 × 499 ) / 1

LCM(349,528,499) = 91951728 / 1

LCM(349,528,499) = 91951728


Lets's calculate GCF of 496,425,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91951728/1

Therefore the LCM of Fractions 349/496,528/425,499/101 is 91951728

Greatest Common Factor of 496,425,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,425,101 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 496,425,101 . The biggest common factor number is the GCF number.
So the greatest common factor 496,425,101 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 349/496, 528/425, 499/101

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 349/496, 528/425, 499/101?

Answer: LCM of Numerators as per given numbers 349/496, 528/425, 499/101 is

LCM of Numerators i.e. for 349,528,499 is 91951728

GCF of denominators i.e. for 496,425,101 is 1.

Thus, LCM of Fractions is 91951728.Finally, LCM of Fractions for 349/496, 528/425, 499/101 is 91951728.