Least Common Multiple of 90/14, 99/52, 59/89, 96/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/14, 99/52, 59/89, 96/688 quickly i.e. 934560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/14, 99/52, 59/89, 96/688 is 934560.

LCM(90/14, 99/52, 59/89, 96/688) = 934560

LCM of 90/14, 99/52, 59/89, 96/688

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 90/14,99/52,59/89,96/688

Given numbers are 90/14,99/52,59/89,96/688

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 90,99,59,96

Least Common Multiple of Numerators i.e. LCM of 90,99,59,96 is 934560.

GCF of Denominators means GCF of 14,52,89,688 as per the given fractions.

GCF of 14,52,89,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,99,59,96

LCM of Fractions 90/14,99/52,59/89,96/688 is 934560

2 90, 99, 59, 96
3 45, 99, 59, 48
3 15, 33, 59, 16
5, 11, 59, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 59 x 16 = 934560

Least Common Multiple of 90,99,59,96 with GCF Formula

Least Common Multiple of 90,99,59,96 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 90,99,59,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,99,59,96) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(90,99,59,96) x common factors =1 x 54 = 54

LCM(90,99,59,96) = ( 90 × 99 × 59 × 96 ) / 54

LCM(90,99,59,96) = 50466240 / 54

LCM(90,99,59,96) = 934560


Lets's calculate GCF of 14,52,89,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 934560/1

Therefore the LCM of Fractions 90/14,99/52,59/89,96/688 is 934560

Greatest Common Factor of 14,52,89,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,52,89,688 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 14,52,89,688 . The biggest common factor number is the GCF number.
So the greatest common factor 14,52,89,688 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 90/14, 99/52, 59/89, 96/688

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 90/14, 99/52, 59/89, 96/688?

Answer: LCM of Numerators as per given numbers 90/14, 99/52, 59/89, 96/688 is

LCM of Numerators i.e. for 90,99,59,96 is 934560

GCF of denominators i.e. for 14,52,89,688 is 1.

Thus, LCM of Fractions is 934560.Finally, LCM of Fractions for 90/14, 99/52, 59/89, 96/688 is 934560.