Least Common Multiple of 65/85, 969/34, 896/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/85, 969/34, 896/237 quickly i.e. 56434560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/85, 969/34, 896/237 is 56434560.

LCM(65/85, 969/34, 896/237) = 56434560

LCM of 65/85, 969/34, 896/237

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 65/85,969/34,896/237

Given numbers are 65/85,969/34,896/237

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 65,969,896

Least Common Multiple of Numerators i.e. LCM of 65,969,896 is 56434560.

GCF of Denominators means GCF of 85,34,237 as per the given fractions.

GCF of 85,34,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,969,896

LCM of Fractions 65/85,969/34,896/237 is 56434560

Given numbers has no common factors except 1. So, there LCM is their product i.e 56434560

Least Common Multiple of 65,969,896 with GCF Formula

Least Common Multiple of 65,969,896 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 65,969,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,969,896) = 1

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

GCF(65,969,896) x common factors =1 x 1 = 1

LCM(65,969,896) = ( 65 × 969 × 896 ) / 1

LCM(65,969,896) = 56434560 / 1

LCM(65,969,896) = 56434560


Lets's calculate GCF of 85,34,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56434560/1

Therefore the LCM of Fractions 65/85,969/34,896/237 is 56434560

Greatest Common Factor of 85,34,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,34,237 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 85,34,237 . The biggest common factor number is the GCF number.
So the greatest common factor 85,34,237 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/85, 969/34, 896/237

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 65/85, 969/34, 896/237?

Answer: LCM of Numerators as per given numbers 65/85, 969/34, 896/237 is

LCM of Numerators i.e. for 65,969,896 is 56434560

GCF of denominators i.e. for 85,34,237 is 1.

Thus, LCM of Fractions is 56434560.Finally, LCM of Fractions for 65/85, 969/34, 896/237 is 56434560.