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LCM of 152, 437, 713, 442

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


Find the LCM of 152, 437, 713, 442 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 152, 437, 713, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 152,437,713,442

Given numbers are 152,437,713,442

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

The LCM of 152,437,713,442 is 23951096.

Find LCM of 152,437,713,442 with Prime Factorization


2 152, 437, 713, 442
19 76, 437, 713, 221
23 4, 23, 713, 221
4, 1, 31, 221

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

2 x 19 x 23 x 4 x 1 x 31 x 221 = 23951096

Therefore, the lowest common multiple of 152,437,713,442 is 23951096.

LCM Formula to Find Lowest Common Multiple of 152,437,713,442

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.

152 x 437 x 713 x 442 = 20933257904

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

437 : 1, 19, 23, 437

713 : 1, 23, 31, 713

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,437,713,442, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

437:19x 23

713:23x 31

442:2x 13x 17

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

2x 19x 23 = 874

Therefore, the value for common factors is 874.

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 = 20933257904/(1x874)

LCM = 20933257904/874

LCM = 23951096

Thus, we can understand that the LCM of 152,437,713,442 is 23951096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 152, 437, 713, 442

1. What is the LCM of 152, 437, 713, 442?

Answer: LCM of 152, 437, 713, 442 is 23951096.

2. How to calculate the LCM of 152, 437, 713, 442?

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 152, 437, 713, 442.

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}.