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LCM of 605, 143, 962, 973, 930

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


Find the LCM of 605, 143, 962, 973, 930 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 605, 143, 962, 973, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,143,962,973,930

Given numbers are 605,143,962,973,930

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

The LCM of 605,143,962,973,930 is 52665502890.

Find LCM of 605,143,962,973,930 with Prime Factorization


2 605, 143, 962, 973, 930
5 605, 143, 481, 973, 465
11 121, 143, 481, 973, 93
13 11, 13, 481, 973, 93
11, 1, 37, 973, 93

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

2 x 5 x 11 x 13 x 11 x 1 x 37 x 973 x 93 = 52665502890

Therefore, the lowest common multiple of 605,143,962,973,930 is 52665502890.

LCM Formula to Find Lowest Common Multiple of 605,143,962,973,930

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.

605 x 143 x 962 x 973 x 930 = 75311669132700

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.

605 : 1, 5, 11, 55, 121, 605

143 : 1, 11, 13, 143

962 : 1, 2, 13, 26, 37, 74, 481, 962

973 : 1, 7, 139, 973

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,143,962,973,930, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

143:11x 13

962:2x 13x 37

973:7x 139

930:2x 3x 5x 31

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

2x 5x 11x 13 = 1430

Therefore, the value for common factors is 1430.

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 = 75311669132700/(1x1430)

LCM = 75311669132700/1430

LCM = 52665502890

Thus, we can understand that the LCM of 605,143,962,973,930 is 52665502890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 143, 962, 973, 930

1. What is the LCM of 605, 143, 962, 973, 930?

Answer: LCM of 605, 143, 962, 973, 930 is 52665502890.

2. How to calculate the LCM of 605, 143, 962, 973, 930?

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 605, 143, 962, 973, 930.

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}.