Least Common Multiple of 36/535, 707/661, 579/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/535, 707/661, 579/614 quickly i.e. 4912236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/535, 707/661, 579/614 is 4912236.

LCM(36/535, 707/661, 579/614) = 4912236

LCM of 36/535, 707/661, 579/614

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 36/535,707/661,579/614

Given numbers are 36/535,707/661,579/614

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 36,707,579

Least Common Multiple of Numerators i.e. LCM of 36,707,579 is 4912236.

GCF of Denominators means GCF of 535,661,614 as per the given fractions.

GCF of 535,661,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,707,579

LCM of Fractions 36/535,707/661,579/614 is 4912236

3 36, 707, 579
12, 707, 193

∴ So the LCM of the given numbers is 3 x 12 x 707 x 193 = 4912236

Least Common Multiple of 36,707,579 with GCF Formula

Least Common Multiple of 36,707,579 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 36,707,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,707,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,707,579) x common factors =1 x 3 = 3

LCM(36,707,579) = ( 36 × 707 × 579 ) / 3

LCM(36,707,579) = 14736708 / 3

LCM(36,707,579) = 4912236


Lets's calculate GCF of 535,661,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4912236/1

Therefore the LCM of Fractions 36/535,707/661,579/614 is 4912236

Greatest Common Factor of 535,661,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,661,614 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 535,661,614 . The biggest common factor number is the GCF number.
So the greatest common factor 535,661,614 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 36/535, 707/661, 579/614

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 36/535, 707/661, 579/614?

Answer: LCM of Numerators as per given numbers 36/535, 707/661, 579/614 is

LCM of Numerators i.e. for 36,707,579 is 4912236

GCF of denominators i.e. for 535,661,614 is 1.

Thus, LCM of Fractions is 4912236.Finally, LCM of Fractions for 36/535, 707/661, 579/614 is 4912236.