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Least Common Multiple of 79/64, 39/84, 67/750

Know Least Common Multiple of fractions 79/64, 39/84, 67/750 quickly i.e. 206427/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/64, 39/84, 67/750 is 206427/2.

LCM(79/64, 39/84, 67/750) = 206427/2

LCM of 79/64, 39/84, 67/750

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 79/64,39/84,67/750

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 79,39,67

Least Common Multiple of Numerators i.e. LCM of 79,39,67 is 206427.

GCF of Denominators means GCF of 64,84,750 as per the given fractions.

GCF of 64,84,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,39,67

Least Common Multiple (LCM) of 79,39,67 By Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 206427

Least Common Multiple of 79,39,67 with GCF Formula

Least Common Multiple of 79,39,67 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 79,39,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,39,67) = 1

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

GCF(79,39,67) x common factors =1 x 1 = 1

LCM(79,39,67) = ( 79 × 39 × 67 ) / 1

LCM(79,39,67) = 206427 / 1

LCM(79,39,67) = 206427


Lets's calculate GCF of 64,84,750

Greatest Common Factor (GCF) of 64,84,750 By Common Division

2 64, 84, 750
32, 42, 375

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206427/2

Therefore the LCM of Fractions 79/64,39/84,67/750 is 206427/2

Greatest Common Factor of 64,84,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,84,750 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 64,84,750 . The biggest common factor number is the GCF number.
So the greatest common factor 64,84,750 is 2.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/64, 39/84, 67/750

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 79/64, 39/84, 67/750?

Answer: LCM of Numerators as per given numbers 79/64, 39/84, 67/750 is

LCM of Numerators i.e. for 79,39,67 is 206427

GCF of denominators i.e. for 64,84,750 is 2.

Thus, LCM of Fractions is 206427/2.Finally, LCM of Fractions for 79/64, 39/84, 67/750 is 206427/2.