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LCM of 921, 500, 220, 693

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


Find the LCM of 921, 500, 220, 693 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 921, 500, 220, 693. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 921,500,220,693

Given numbers are 921,500,220,693

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

The LCM of 921,500,220,693 is 106375500.

Find LCM of 921,500,220,693 with Prime Factorization


2 921, 500, 220, 693
2 921, 250, 110, 693
3 921, 125, 55, 693
5 307, 125, 55, 231
11 307, 25, 11, 231
307, 25, 1, 21

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

2 x 2 x 3 x 5 x 11 x 307 x 25 x 1 x 21 = 106375500

Therefore, the lowest common multiple of 921,500,220,693 is 106375500.

LCM Formula to Find Lowest Common Multiple of 921,500,220,693

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.

921 x 500 x 220 x 693 = 70207830000

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.

921 : 1, 3, 307, 921

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,500,220,693, is 1.

Now, the common factors can be found like this.

921:3x 307

500:2x 2x 5x 5x 5

220:2x 2x 5x 11

693:3x 3x 7x 11

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 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 70207830000/(1x660)

LCM = 70207830000/660

LCM = 106375500

Thus, we can understand that the LCM of 921,500,220,693 is 106375500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 921, 500, 220, 693

1. What is the LCM of 921, 500, 220, 693?

Answer: LCM of 921, 500, 220, 693 is 106375500.

2. How to calculate the LCM of 921, 500, 220, 693?

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 921, 500, 220, 693.

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}.