Least Common Multiple of 69/688, 193/45, 848/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/688, 193/45, 848/132 quickly i.e. 11292816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/688, 193/45, 848/132 is 11292816.

LCM(69/688, 193/45, 848/132) = 11292816

LCM of 69/688, 193/45, 848/132

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 69/688,193/45,848/132

Given numbers are 69/688,193/45,848/132

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 69,193,848

Least Common Multiple of Numerators i.e. LCM of 69,193,848 is 11292816.

GCF of Denominators means GCF of 688,45,132 as per the given fractions.

GCF of 688,45,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,193,848

LCM of Fractions 69/688,193/45,848/132 is 11292816

Given numbers has no common factors except 1. So, there LCM is their product i.e 11292816

Least Common Multiple of 69,193,848 with GCF Formula

Least Common Multiple of 69,193,848 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 69,193,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,193,848) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(69,193,848) x common factors =1 x 1 = 1

LCM(69,193,848) = ( 69 × 193 × 848 ) / 1

LCM(69,193,848) = 11292816 / 1

LCM(69,193,848) = 11292816


Lets's calculate GCF of 688,45,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11292816/1

Therefore the LCM of Fractions 69/688,193/45,848/132 is 11292816

Greatest Common Factor of 688,45,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,45,132 By Matching Biggest Common Factor Method

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

Factors of 45

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

1,3,5,9,15,45

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 688,45,132 . The biggest common factor number is the GCF number.
So the greatest common factor 688,45,132 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 69/688, 193/45, 848/132

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 69/688, 193/45, 848/132?

Answer: LCM of Numerators as per given numbers 69/688, 193/45, 848/132 is

LCM of Numerators i.e. for 69,193,848 is 11292816

GCF of denominators i.e. for 688,45,132 is 1.

Thus, LCM of Fractions is 11292816.Finally, LCM of Fractions for 69/688, 193/45, 848/132 is 11292816.