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LCM of 527, 221, 357, 909

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 527, 221, 357, 909 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 527, 221, 357, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,221,357,909

Given numbers are 527,221,357,909

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 527,221,357,909 is 43592913.

Find LCM of 527,221,357,909 with Prime Factorization


3 527, 221, 357, 909
17 527, 221, 119, 303
31, 13, 7, 303

Multiply the prime numbers at the bottom and the left side.

3 x 17 x 31 x 13 x 7 x 303 = 43592913

Therefore, the lowest common multiple of 527,221,357,909 is 43592913.

LCM Formula to Find Lowest Common Multiple of 527,221,357,909

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

527 x 221 x 357 x 909 = 37795055571

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

527 : 1, 17, 31, 527

221 : 1, 13, 17, 221

357 : 1, 3, 7, 17, 21, 51, 119, 357

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,221,357,909, is 1.

Now, the common factors can be found like this.

527:17x 31

221:13x 17

357:3x 7x 17

909:3x 3x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 17x 17 = 867

Therefore, the value for common factors is 867.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 37795055571/(1x867)

LCM = 37795055571/867

LCM = 43592913

Thus, we can understand that the LCM of 527,221,357,909 is 43592913.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 221, 357, 909

1. What is the LCM of 527, 221, 357, 909?

Answer: LCM of 527, 221, 357, 909 is 43592913.

2. How to calculate the LCM of 527, 221, 357, 909?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 527, 221, 357, 909.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.