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LCM of 843, 744, 782, 505, 902

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


Find the LCM of 843, 744, 782, 505, 902 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 843, 744, 782, 505, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,744,782,505,902

Given numbers are 843,744,782,505,902

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

The LCM of 843,744,782,505,902 is 18617610186120.

Find LCM of 843,744,782,505,902 with Prime Factorization


2 843, 744, 782, 505, 902
3 843, 372, 391, 505, 451
281, 124, 391, 505, 451

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

2 x 3 x 281 x 124 x 391 x 505 x 451 = 18617610186120

Therefore, the lowest common multiple of 843,744,782,505,902 is 18617610186120.

LCM Formula to Find Lowest Common Multiple of 843,744,782,505,902

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.

843 x 744 x 782 x 505 x 902 = 223411322233440

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.

843 : 1, 3, 281, 843

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

782 : 1, 2, 17, 23, 34, 46, 391, 782

505 : 1, 5, 101, 505

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,744,782,505,902, is 1.

Now, the common factors can be found like this.

843:3x 281

744:2x 2x 2x 3x 31

782:2x 17x 23

505:5x 101

902:2x 11x 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 3 = 12

Therefore, the value for common factors is 12.

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 = 223411322233440/(1x12)

LCM = 223411322233440/12

LCM = 18617610186120

Thus, we can understand that the LCM of 843,744,782,505,902 is 18617610186120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 744, 782, 505, 902

1. What is the LCM of 843, 744, 782, 505, 902?

Answer: LCM of 843, 744, 782, 505, 902 is 18617610186120.

2. How to calculate the LCM of 843, 744, 782, 505, 902?

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 843, 744, 782, 505, 902.

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}.