Least Common Multiple of 69/85, 56/49, 51/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/85, 56/49, 51/412 quickly i.e. 65688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/85, 56/49, 51/412 is 65688.

LCM(69/85, 56/49, 51/412) = 65688

LCM of 69/85, 56/49, 51/412

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 69/85,56/49,51/412

Given numbers are 69/85,56/49,51/412

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 69,56,51

Least Common Multiple of Numerators i.e. LCM of 69,56,51 is 65688.

GCF of Denominators means GCF of 85,49,412 as per the given fractions.

GCF of 85,49,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,56,51

LCM of Fractions 69/85,56/49,51/412 is 65688

3 69, 56, 51
23, 56, 17

∴ So the LCM of the given numbers is 3 x 23 x 56 x 17 = 65688

Least Common Multiple of 69,56,51 with GCF Formula

Least Common Multiple of 69,56,51 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 69,56,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,56,51) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,56,51) x common factors =1 x 3 = 3

LCM(69,56,51) = ( 69 × 56 × 51 ) / 3

LCM(69,56,51) = 197064 / 3

LCM(69,56,51) = 65688


Lets's calculate GCF of 85,49,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65688/1

Therefore the LCM of Fractions 69/85,56/49,51/412 is 65688

Greatest Common Factor of 85,49,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,49,412 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 85,49,412 . The biggest common factor number is the GCF number.
So the greatest common factor 85,49,412 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 69/85, 56/49, 51/412

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 69/85, 56/49, 51/412?

Answer: LCM of Numerators as per given numbers 69/85, 56/49, 51/412 is

LCM of Numerators i.e. for 69,56,51 is 65688

GCF of denominators i.e. for 85,49,412 is 1.

Thus, LCM of Fractions is 65688.Finally, LCM of Fractions for 69/85, 56/49, 51/412 is 65688.