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LCM of 952, 926, 221, 918, 250

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


Find the LCM of 952, 926, 221, 918, 250 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 952, 926, 221, 918, 250. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,926,221,918,250

Given numbers are 952,926,221,918,250

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

The LCM of 952,926,221,918,250 is 19339047000.

Find LCM of 952,926,221,918,250 with Prime Factorization


2 952, 926, 221, 918, 250
17 476, 463, 221, 459, 125
28, 463, 13, 27, 125

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

2 x 17 x 28 x 463 x 13 x 27 x 125 = 19339047000

Therefore, the lowest common multiple of 952,926,221,918,250 is 19339047000.

LCM Formula to Find Lowest Common Multiple of 952,926,221,918,250

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.

952 x 926 x 221 x 918 x 250 = 44711876664000

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

926 : 1, 2, 463, 926

221 : 1, 13, 17, 221

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

250 : 1, 2, 5, 10, 25, 50, 125, 250

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,926,221,918,250, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

926:2x 463

221:13x 17

918:2x 3x 3x 3x 17

250:2x 5x 5x 5

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 2x 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 44711876664000/(1x2312)

LCM = 44711876664000/2312

LCM = 19339047000

Thus, we can understand that the LCM of 952,926,221,918,250 is 19339047000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 926, 221, 918, 250

1. What is the LCM of 952, 926, 221, 918, 250?

Answer: LCM of 952, 926, 221, 918, 250 is 19339047000.

2. How to calculate the LCM of 952, 926, 221, 918, 250?

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 952, 926, 221, 918, 250.

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}.