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LCM of 592, 138, 437, 967

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


Find the LCM of 592, 138, 437, 967 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 592, 138, 437, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,138,437,967

Given numbers are 592,138,437,967

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

The LCM of 592,138,437,967 is 750500304.

Find LCM of 592,138,437,967 with Prime Factorization


2 592, 138, 437, 967
23 296, 69, 437, 967
296, 3, 19, 967

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

2 x 23 x 296 x 3 x 19 x 967 = 750500304

Therefore, the lowest common multiple of 592,138,437,967 is 750500304.

LCM Formula to Find Lowest Common Multiple of 592,138,437,967

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.

592 x 138 x 437 x 967 = 34523013984

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

138 : 1, 2, 3, 6, 23, 46, 69, 138

437 : 1, 19, 23, 437

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,138,437,967, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

138:2x 3x 23

437:19x 23

967:967

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 34523013984/(1x46)

LCM = 34523013984/46

LCM = 750500304

Thus, we can understand that the LCM of 592,138,437,967 is 750500304.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 138, 437, 967

1. What is the LCM of 592, 138, 437, 967?

Answer: LCM of 592, 138, 437, 967 is 750500304.

2. How to calculate the LCM of 592, 138, 437, 967?

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 592, 138, 437, 967.

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}.