Least Common Multiple of 90/465, 913/449, 942/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/465, 913/449, 942/826 quickly i.e. 12900690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/465, 913/449, 942/826 is 12900690.

LCM(90/465, 913/449, 942/826) = 12900690

LCM of 90/465, 913/449, 942/826

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 90/465,913/449,942/826

Given numbers are 90/465,913/449,942/826

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 90,913,942

Least Common Multiple of Numerators i.e. LCM of 90,913,942 is 12900690.

GCF of Denominators means GCF of 465,449,826 as per the given fractions.

GCF of 465,449,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,913,942

LCM of Fractions 90/465,913/449,942/826 is 12900690

2 90, 913, 942
3 45, 913, 471
15, 913, 157

∴ So the LCM of the given numbers is 2 x 3 x 15 x 913 x 157 = 12900690

Least Common Multiple of 90,913,942 with GCF Formula

Least Common Multiple of 90,913,942 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 90,913,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,913,942) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,913,942) x common factors =1 x 6 = 6

LCM(90,913,942) = ( 90 × 913 × 942 ) / 6

LCM(90,913,942) = 77404140 / 6

LCM(90,913,942) = 12900690


Lets's calculate GCF of 465,449,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12900690/1

Therefore the LCM of Fractions 90/465,913/449,942/826 is 12900690

Greatest Common Factor of 465,449,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,449,826 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 465,449,826 . The biggest common factor number is the GCF number.
So the greatest common factor 465,449,826 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 90/465, 913/449, 942/826

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 90/465, 913/449, 942/826?

Answer: LCM of Numerators as per given numbers 90/465, 913/449, 942/826 is

LCM of Numerators i.e. for 90,913,942 is 12900690

GCF of denominators i.e. for 465,449,826 is 1.

Thus, LCM of Fractions is 12900690.Finally, LCM of Fractions for 90/465, 913/449, 942/826 is 12900690.