Least Common Multiple of 90/17, 49/75, 46/46, 26/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/17, 49/75, 46/46, 26/962 quickly i.e. 1318590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/17, 49/75, 46/46, 26/962 is 1318590.

LCM(90/17, 49/75, 46/46, 26/962) = 1318590

LCM of 90/17, 49/75, 46/46, 26/962

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 90/17,49/75,46/46,26/962

Given numbers are 90/17,49/75,46/46,26/962

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 90,49,46,26

Least Common Multiple of Numerators i.e. LCM of 90,49,46,26 is 1318590.

GCF of Denominators means GCF of 17,75,46,962 as per the given fractions.

GCF of 17,75,46,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,49,46,26

LCM of Fractions 90/17,49/75,46/46,26/962 is 1318590

2 90, 49, 46, 26
45, 49, 23, 13

∴ So the LCM of the given numbers is 2 x 45 x 49 x 23 x 13 = 1318590

Least Common Multiple of 90,49,46,26 with GCF Formula

Least Common Multiple of 90,49,46,26 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 90,49,46,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,49,46,26) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(90,49,46,26) x common factors =1 x 4 = 4

LCM(90,49,46,26) = ( 90 × 49 × 46 × 26 ) / 4

LCM(90,49,46,26) = 5274360 / 4

LCM(90,49,46,26) = 1318590


Lets's calculate GCF of 17,75,46,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1318590/1

Therefore the LCM of Fractions 90/17,49/75,46/46,26/962 is 1318590

Greatest Common Factor of 17,75,46,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,75,46,962 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 17,75,46,962 . The biggest common factor number is the GCF number.
So the greatest common factor 17,75,46,962 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 90/17, 49/75, 46/46, 26/962

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 90/17, 49/75, 46/46, 26/962?

Answer: LCM of Numerators as per given numbers 90/17, 49/75, 46/46, 26/962 is

LCM of Numerators i.e. for 90,49,46,26 is 1318590

GCF of denominators i.e. for 17,75,46,962 is 1.

Thus, LCM of Fractions is 1318590.Finally, LCM of Fractions for 90/17, 49/75, 46/46, 26/962 is 1318590.