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LCM of 753, 420, 270, 833

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


Find the LCM of 753, 420, 270, 833 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 753, 420, 270, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,420,270,833

Given numbers are 753,420,270,833

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

The LCM of 753,420,270,833 is 112904820.

Find LCM of 753,420,270,833 with Prime Factorization


2 753, 420, 270, 833
3 753, 210, 135, 833
5 251, 70, 45, 833
7 251, 14, 9, 833
251, 2, 9, 119

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

2 x 3 x 5 x 7 x 251 x 2 x 9 x 119 = 112904820

Therefore, the lowest common multiple of 753,420,270,833 is 112904820.

LCM Formula to Find Lowest Common Multiple of 753,420,270,833

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.

753 x 420 x 270 x 833 = 71130036600

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.

753 : 1, 3, 251, 753

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,420,270,833, is 1.

Now, the common factors can be found like this.

753:3x 251

420:2x 2x 3x 5x 7

270:2x 3x 3x 3x 5

833:7x 7x 17

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

2x 3x 3x 5x 7 = 630

Therefore, the value for common factors is 630.

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 = 71130036600/(1x630)

LCM = 71130036600/630

LCM = 112904820

Thus, we can understand that the LCM of 753,420,270,833 is 112904820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 420, 270, 833

1. What is the LCM of 753, 420, 270, 833?

Answer: LCM of 753, 420, 270, 833 is 112904820.

2. How to calculate the LCM of 753, 420, 270, 833?

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 753, 420, 270, 833.

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}.