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LCM of 514, 524, 805, 251, 701

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


Find the LCM of 514, 524, 805, 251, 701 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 514, 524, 805, 251, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 514,524,805,251,701

Given numbers are 514,524,805,251,701

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

The LCM of 514,524,805,251,701 is 19074450260740.

Find LCM of 514,524,805,251,701 with Prime Factorization


2 514, 524, 805, 251, 701
257, 262, 805, 251, 701

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

2 x 257 x 262 x 805 x 251 x 701 = 19074450260740

Therefore, the lowest common multiple of 514,524,805,251,701 is 19074450260740.

LCM Formula to Find Lowest Common Multiple of 514,524,805,251,701

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.

514 x 524 x 805 x 251 x 701 = 38148900521480

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.

514 : 1, 2, 257, 514

524 : 1, 2, 4, 131, 262, 524

805 : 1, 5, 7, 23, 35, 115, 161, 805

251 : 1, 251

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,524,805,251,701, is 1.

Now, the common factors can be found like this.

514:2x 257

524:2x 2x 131

805:5x 7x 23

251:251

701:701

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

2 = 2

Therefore, the value for common factors is 2.

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 = 38148900521480/(1x2)

LCM = 38148900521480/2

LCM = 19074450260740

Thus, we can understand that the LCM of 514,524,805,251,701 is 19074450260740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 514, 524, 805, 251, 701

1. What is the LCM of 514, 524, 805, 251, 701?

Answer: LCM of 514, 524, 805, 251, 701 is 19074450260740.

2. How to calculate the LCM of 514, 524, 805, 251, 701?

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 514, 524, 805, 251, 701.

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}.