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LCM of 265, 364, 953, 602

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


Find the LCM of 265, 364, 953, 602 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 265, 364, 953, 602. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,364,953,602

Given numbers are 265,364,953,602

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

The LCM of 265,364,953,602 is 3952834340.

Find LCM of 265,364,953,602 with Prime Factorization


2 265, 364, 953, 602
7 265, 182, 953, 301
265, 26, 953, 43

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

2 x 7 x 265 x 26 x 953 x 43 = 3952834340

Therefore, the lowest common multiple of 265,364,953,602 is 3952834340.

LCM Formula to Find Lowest Common Multiple of 265,364,953,602

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.

265 x 364 x 953 x 602 = 55339680760

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.

265 : 1, 5, 53, 265

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

953 : 1, 953

602 : 1, 2, 7, 14, 43, 86, 301, 602

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,364,953,602, is 1.

Now, the common factors can be found like this.

265:5x 53

364:2x 2x 7x 13

953:953

602:2x 7x 43

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 55339680760/(1x14)

LCM = 55339680760/14

LCM = 3952834340

Thus, we can understand that the LCM of 265,364,953,602 is 3952834340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 364, 953, 602

1. What is the LCM of 265, 364, 953, 602?

Answer: LCM of 265, 364, 953, 602 is 3952834340.

2. How to calculate the LCM of 265, 364, 953, 602?

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 265, 364, 953, 602.

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}.