Least Common Multiple of 79/705, 75/534, 302/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/705, 75/534, 302/884 quickly i.e. 1789350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/705, 75/534, 302/884 is 1789350.

LCM(79/705, 75/534, 302/884) = 1789350

LCM of 79/705, 75/534, 302/884

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 79/705,75/534,302/884

Given numbers are 79/705,75/534,302/884

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 79,75,302

Least Common Multiple of Numerators i.e. LCM of 79,75,302 is 1789350.

GCF of Denominators means GCF of 705,534,884 as per the given fractions.

GCF of 705,534,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,75,302

LCM of Fractions 79/705,75/534,302/884 is 1789350

Given numbers has no common factors except 1. So, there LCM is their product i.e 1789350

Least Common Multiple of 79,75,302 with GCF Formula

Least Common Multiple of 79,75,302 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 79,75,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,75,302) = 1

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

GCF(79,75,302) x common factors =1 x 1 = 1

LCM(79,75,302) = ( 79 × 75 × 302 ) / 1

LCM(79,75,302) = 1789350 / 1

LCM(79,75,302) = 1789350


Lets's calculate GCF of 705,534,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1789350/1

Therefore the LCM of Fractions 79/705,75/534,302/884 is 1789350

Greatest Common Factor of 705,534,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,534,884 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 705,534,884 . The biggest common factor number is the GCF number.
So the greatest common factor 705,534,884 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/705, 75/534, 302/884

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 79/705, 75/534, 302/884?

Answer: LCM of Numerators as per given numbers 79/705, 75/534, 302/884 is

LCM of Numerators i.e. for 79,75,302 is 1789350

GCF of denominators i.e. for 705,534,884 is 1.

Thus, LCM of Fractions is 1789350.Finally, LCM of Fractions for 79/705, 75/534, 302/884 is 1789350.