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LCM of 735, 190, 782, 959, 633

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


Find the LCM of 735, 190, 782, 959, 633 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 735, 190, 782, 959, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,190,782,959,633

Given numbers are 735,190,782,959,633

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

The LCM of 735,190,782,959,633 is 315682651410.

Find LCM of 735,190,782,959,633 with Prime Factorization


2 735, 190, 782, 959, 633
3 735, 95, 391, 959, 633
5 245, 95, 391, 959, 211
7 49, 19, 391, 959, 211
7, 19, 391, 137, 211

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

2 x 3 x 5 x 7 x 7 x 19 x 391 x 137 x 211 = 315682651410

Therefore, the lowest common multiple of 735,190,782,959,633 is 315682651410.

LCM Formula to Find Lowest Common Multiple of 735,190,782,959,633

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.

735 x 190 x 782 x 959 x 633 = 66293356796100

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

959 : 1, 7, 137, 959

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,190,782,959,633, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

190:2x 5x 19

782:2x 17x 23

959:7x 137

633:3x 211

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 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 66293356796100/(1x210)

LCM = 66293356796100/210

LCM = 315682651410

Thus, we can understand that the LCM of 735,190,782,959,633 is 315682651410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 190, 782, 959, 633

1. What is the LCM of 735, 190, 782, 959, 633?

Answer: LCM of 735, 190, 782, 959, 633 is 315682651410.

2. How to calculate the LCM of 735, 190, 782, 959, 633?

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 735, 190, 782, 959, 633.

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}.