Least Common Multiple of 67/79, 96/86, 34/36, 93/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/79, 96/86, 34/36, 93/707 quickly i.e. 3389664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/79, 96/86, 34/36, 93/707 is 3389664.

LCM(67/79, 96/86, 34/36, 93/707) = 3389664

LCM of 67/79, 96/86, 34/36, 93/707

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 67/79,96/86,34/36,93/707

Given numbers are 67/79,96/86,34/36,93/707

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 67,96,34,93

Least Common Multiple of Numerators i.e. LCM of 67,96,34,93 is 3389664.

GCF of Denominators means GCF of 79,86,36,707 as per the given fractions.

GCF of 79,86,36,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,96,34,93

LCM of Fractions 67/79,96/86,34/36,93/707 is 3389664

2 67, 96, 34, 93
3 67, 48, 17, 93
67, 16, 17, 31

∴ So the LCM of the given numbers is 2 x 3 x 67 x 16 x 17 x 31 = 3389664

Least Common Multiple of 67,96,34,93 with GCF Formula

Least Common Multiple of 67,96,34,93 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 67,96,34,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,96,34,93) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(67,96,34,93) x common factors =1 x 6 = 6

LCM(67,96,34,93) = ( 67 × 96 × 34 × 93 ) / 6

LCM(67,96,34,93) = 20337984 / 6

LCM(67,96,34,93) = 3389664


Lets's calculate GCF of 79,86,36,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3389664/1

Therefore the LCM of Fractions 67/79,96/86,34/36,93/707 is 3389664

Greatest Common Factor of 79,86,36,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,86,36,707 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 79,86,36,707 . The biggest common factor number is the GCF number.
So the greatest common factor 79,86,36,707 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/79, 96/86, 34/36, 93/707

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 67/79, 96/86, 34/36, 93/707?

Answer: LCM of Numerators as per given numbers 67/79, 96/86, 34/36, 93/707 is

LCM of Numerators i.e. for 67,96,34,93 is 3389664

GCF of denominators i.e. for 79,86,36,707 is 1.

Thus, LCM of Fractions is 3389664.Finally, LCM of Fractions for 67/79, 96/86, 34/36, 93/707 is 3389664.