Least Common Multiple of 69/59, 67/471, 148/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/59, 67/471, 148/828 quickly i.e. 684204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/59, 67/471, 148/828 is 684204.

LCM(69/59, 67/471, 148/828) = 684204

LCM of 69/59, 67/471, 148/828

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 69/59,67/471,148/828

Given numbers are 69/59,67/471,148/828

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 69,67,148

Least Common Multiple of Numerators i.e. LCM of 69,67,148 is 684204.

GCF of Denominators means GCF of 59,471,828 as per the given fractions.

GCF of 59,471,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,67,148

LCM of Fractions 69/59,67/471,148/828 is 684204

Given numbers has no common factors except 1. So, there LCM is their product i.e 684204

Least Common Multiple of 69,67,148 with GCF Formula

Least Common Multiple of 69,67,148 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 69,67,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,67,148) = 1

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

GCF(69,67,148) x common factors =1 x 1 = 1

LCM(69,67,148) = ( 69 × 67 × 148 ) / 1

LCM(69,67,148) = 684204 / 1

LCM(69,67,148) = 684204


Lets's calculate GCF of 59,471,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684204/1

Therefore the LCM of Fractions 69/59,67/471,148/828 is 684204

Greatest Common Factor of 59,471,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,471,828 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 59,471,828 . The biggest common factor number is the GCF number.
So the greatest common factor 59,471,828 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 69/59, 67/471, 148/828

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 69/59, 67/471, 148/828?

Answer: LCM of Numerators as per given numbers 69/59, 67/471, 148/828 is

LCM of Numerators i.e. for 69,67,148 is 684204

GCF of denominators i.e. for 59,471,828 is 1.

Thus, LCM of Fractions is 684204.Finally, LCM of Fractions for 69/59, 67/471, 148/828 is 684204.