Least Common Multiple of 69/88, 54/94, 90/18, 96/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/88, 54/94, 90/18, 96/498 quickly i.e. 49680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/88, 54/94, 90/18, 96/498 is 49680.

LCM(69/88, 54/94, 90/18, 96/498) = 49680

LCM of 69/88, 54/94, 90/18, 96/498

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 69/88,54/94,90/18,96/498

Given numbers are 69/88,54/94,90/18,96/498

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 69,54,90,96

Least Common Multiple of Numerators i.e. LCM of 69,54,90,96 is 99360.

GCF of Denominators means GCF of 88,94,18,498 as per the given fractions.

GCF of 88,94,18,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,54,90,96

LCM of Fractions 69/88,54/94,90/18,96/498 is 49680

2 69, 54, 90, 96
3 69, 27, 45, 48
3 23, 9, 15, 16
23, 3, 5, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 3 x 5 x 16 = 99360

Least Common Multiple of 69,54,90,96 with GCF Formula

Least Common Multiple of 69,54,90,96 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 69,54,90,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,54,90,96) = 3

common factors(in case of two or more numbers have common factors) = 108

GCF(69,54,90,96) x common factors =3 x 108 = 324

LCM(69,54,90,96) = ( 69 × 54 × 90 × 96 ) / 324

LCM(69,54,90,96) = 32192640 / 324

LCM(69,54,90,96) = 99360


Lets's calculate GCF of 88,94,18,498

2 88, 94, 18, 498
44, 47, 9, 249

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99360/2

Therefore the LCM of Fractions 69/88,54/94,90/18,96/498 is 49680

Greatest Common Factor of 88,94,18,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,94,18,498 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 88,94,18,498 . The biggest common factor number is the GCF number.
So the greatest common factor 88,94,18,498 is 2.


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 69/88, 54/94, 90/18, 96/498

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 69/88, 54/94, 90/18, 96/498?

Answer: LCM of Numerators as per given numbers 69/88, 54/94, 90/18, 96/498 is

LCM of Numerators i.e. for 69,54,90,96 is 99360

GCF of denominators i.e. for 88,94,18,498 is 2.

Thus, LCM of Fractions is 49680.Finally, LCM of Fractions for 69/88, 54/94, 90/18, 96/498 is 49680.