Least Common Multiple of 49/45, 26/19, 14/72, 92/521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/45, 26/19, 14/72, 92/521 quickly i.e. 58604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/45, 26/19, 14/72, 92/521 is 58604.

LCM(49/45, 26/19, 14/72, 92/521) = 58604

LCM of 49/45, 26/19, 14/72, 92/521

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 49/45,26/19,14/72,92/521

Given numbers are 49/45,26/19,14/72,92/521

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 49,26,14,92

Least Common Multiple of Numerators i.e. LCM of 49,26,14,92 is 58604.

GCF of Denominators means GCF of 45,19,72,521 as per the given fractions.

GCF of 45,19,72,521 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,26,14,92

LCM of Fractions 49/45,26/19,14/72,92/521 is 58604

2 49, 26, 14, 92
7 49, 13, 7, 46
1, 13, 7, 46

∴ So the LCM of the given numbers is 2 x 7 x 1 x 13 x 7 x 46 = 58604

Least Common Multiple of 49,26,14,92 with GCF Formula

Least Common Multiple of 49,26,14,92 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 49,26,14,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,26,14,92) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(49,26,14,92) x common factors =1 x 28 = 28

LCM(49,26,14,92) = ( 49 × 26 × 14 × 92 ) / 28

LCM(49,26,14,92) = 1640912 / 28

LCM(49,26,14,92) = 58604


Lets's calculate GCF of 45,19,72,521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58604/1

Therefore the LCM of Fractions 49/45,26/19,14/72,92/521 is 58604

Greatest Common Factor of 45,19,72,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,19,72,521 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 45,19,72,521 . The biggest common factor number is the GCF number.
So the greatest common factor 45,19,72,521 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 49/45, 26/19, 14/72, 92/521

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 49/45, 26/19, 14/72, 92/521?

Answer: LCM of Numerators as per given numbers 49/45, 26/19, 14/72, 92/521 is

LCM of Numerators i.e. for 49,26,14,92 is 58604

GCF of denominators i.e. for 45,19,72,521 is 1.

Thus, LCM of Fractions is 58604.Finally, LCM of Fractions for 49/45, 26/19, 14/72, 92/521 is 58604.