Least Common Multiple of 68/85, 41/96, 95/70, 89/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/85, 41/96, 95/70, 89/693 quickly i.e. 23572540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/85, 41/96, 95/70, 89/693 is 23572540.

LCM(68/85, 41/96, 95/70, 89/693) = 23572540

LCM of 68/85, 41/96, 95/70, 89/693

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 68/85,41/96,95/70,89/693

Given numbers are 68/85,41/96,95/70,89/693

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 68,41,95,89

Least Common Multiple of Numerators i.e. LCM of 68,41,95,89 is 23572540.

GCF of Denominators means GCF of 85,96,70,693 as per the given fractions.

GCF of 85,96,70,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,41,95,89

LCM of Fractions 68/85,41/96,95/70,89/693 is 23572540

Given numbers has no common factors except 1. So, there LCM is their product i.e 23572540

Least Common Multiple of 68,41,95,89 with GCF Formula

Least Common Multiple of 68,41,95,89 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 68,41,95,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,41,95,89) = 1

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

GCF(68,41,95,89) x common factors =1 x 1 = 1

LCM(68,41,95,89) = ( 68 × 41 × 95 × 89 ) / 1

LCM(68,41,95,89) = 23572540 / 1

LCM(68,41,95,89) = 23572540


Lets's calculate GCF of 85,96,70,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23572540/1

Therefore the LCM of Fractions 68/85,41/96,95/70,89/693 is 23572540

Greatest Common Factor of 85,96,70,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,96,70,693 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 85,96,70,693 . The biggest common factor number is the GCF number.
So the greatest common factor 85,96,70,693 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 68/85, 41/96, 95/70, 89/693

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 68/85, 41/96, 95/70, 89/693?

Answer: LCM of Numerators as per given numbers 68/85, 41/96, 95/70, 89/693 is

LCM of Numerators i.e. for 68,41,95,89 is 23572540

GCF of denominators i.e. for 85,96,70,693 is 1.

Thus, LCM of Fractions is 23572540.Finally, LCM of Fractions for 68/85, 41/96, 95/70, 89/693 is 23572540.