Least Common Multiple of 17/56, 65/55, 312/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/56, 65/55, 312/611 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/56, 65/55, 312/611 is 26520.

LCM(17/56, 65/55, 312/611) = 26520

LCM of 17/56, 65/55, 312/611

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 17/56,65/55,312/611

Given numbers are 17/56,65/55,312/611

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 17,65,312

Least Common Multiple of Numerators i.e. LCM of 17,65,312 is 26520.

GCF of Denominators means GCF of 56,55,611 as per the given fractions.

GCF of 56,55,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,65,312

LCM of Fractions 17/56,65/55,312/611 is 26520

13 17, 65, 312
17, 5, 24

∴ So the LCM of the given numbers is 13 x 17 x 5 x 24 = 26520

Least Common Multiple of 17,65,312 with GCF Formula

Least Common Multiple of 17,65,312 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 17,65,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,65,312) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(17,65,312) x common factors =1 x 13 = 13

LCM(17,65,312) = ( 17 × 65 × 312 ) / 13

LCM(17,65,312) = 344760 / 13

LCM(17,65,312) = 26520


Lets's calculate GCF of 56,55,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1

Therefore the LCM of Fractions 17/56,65/55,312/611 is 26520

Greatest Common Factor of 56,55,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,55,611 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 56,55,611 . The biggest common factor number is the GCF number.
So the greatest common factor 56,55,611 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 17/56, 65/55, 312/611

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 17/56, 65/55, 312/611?

Answer: LCM of Numerators as per given numbers 17/56, 65/55, 312/611 is

LCM of Numerators i.e. for 17,65,312 is 26520

GCF of denominators i.e. for 56,55,611 is 1.

Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 17/56, 65/55, 312/611 is 26520.