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LCM of 700, 920, 780, 533

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


Find the LCM of 700, 920, 780, 533 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 700, 920, 780, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 700,920,780,533

Given numbers are 700,920,780,533

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

The LCM of 700,920,780,533 is 51487800.

Find LCM of 700,920,780,533 with Prime Factorization


2 700, 920, 780, 533
2 350, 460, 390, 533
5 175, 230, 195, 533
13 35, 46, 39, 533
35, 46, 3, 41

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

2 x 2 x 5 x 13 x 35 x 46 x 3 x 41 = 51487800

Therefore, the lowest common multiple of 700,920,780,533 is 51487800.

LCM Formula to Find Lowest Common Multiple of 700,920,780,533

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.

700 x 920 x 780 x 533 = 267736560000

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,920,780,533, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

920:2x 2x 2x 5x 23

780:2x 2x 3x 5x 13

533:13x 41

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

2x 2x 2x 2x 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 267736560000/(1x5200)

LCM = 267736560000/5200

LCM = 51487800

Thus, we can understand that the LCM of 700,920,780,533 is 51487800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 700, 920, 780, 533

1. What is the LCM of 700, 920, 780, 533?

Answer: LCM of 700, 920, 780, 533 is 51487800.

2. How to calculate the LCM of 700, 920, 780, 533?

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 700, 920, 780, 533.

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}.