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LCM of 851, 950, 502, 147, 262

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


Find the LCM of 851, 950, 502, 147, 262 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 851, 950, 502, 147, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,950,502,147,262

Given numbers are 851,950,502,147,262

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

The LCM of 851,950,502,147,262 is 3907648734150.

Find LCM of 851,950,502,147,262 with Prime Factorization


2 851, 950, 502, 147, 262
851, 475, 251, 147, 131

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

2 x 851 x 475 x 251 x 147 x 131 = 3907648734150

Therefore, the lowest common multiple of 851,950,502,147,262 is 3907648734150.

LCM Formula to Find Lowest Common Multiple of 851,950,502,147,262

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.

851 x 950 x 502 x 147 x 262 = 15630594936600

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.

851 : 1, 23, 37, 851

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

502 : 1, 2, 251, 502

147 : 1, 3, 7, 21, 49, 147

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,950,502,147,262, is 1.

Now, the common factors can be found like this.

851:23x 37

950:2x 5x 5x 19

502:2x 251

147:3x 7x 7

262:2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15630594936600/(1x4)

LCM = 15630594936600/4

LCM = 3907648734150

Thus, we can understand that the LCM of 851,950,502,147,262 is 3907648734150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 950, 502, 147, 262

1. What is the LCM of 851, 950, 502, 147, 262?

Answer: LCM of 851, 950, 502, 147, 262 is 3907648734150.

2. How to calculate the LCM of 851, 950, 502, 147, 262?

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 851, 950, 502, 147, 262.

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}.