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LCM of 355, 213, 761, 962, 853

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


Find the LCM of 355, 213, 761, 962, 853 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 355, 213, 761, 962, 853. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,213,761,962,853

Given numbers are 355,213,761,962,853

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

The LCM of 355,213,761,962,853 is 665056232490.

Find LCM of 355,213,761,962,853 with Prime Factorization


71 355, 213, 761, 962, 853
5, 3, 761, 962, 853

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

71 x 5 x 3 x 761 x 962 x 853 = 665056232490

Therefore, the lowest common multiple of 355,213,761,962,853 is 665056232490.

LCM Formula to Find Lowest Common Multiple of 355,213,761,962,853

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.

355 x 213 x 761 x 962 x 853 = 47218992506790

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.

355 : 1, 5, 71, 355

213 : 1, 3, 71, 213

761 : 1, 761

962 : 1, 2, 13, 26, 37, 74, 481, 962

853 : 1, 853

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,213,761,962,853, is 1.

Now, the common factors can be found like this.

355:5x 71

213:3x 71

761:761

962:2x 13x 37

853:853

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

71 = 71

Therefore, the value for common factors is 71.

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 = 47218992506790/(1x71)

LCM = 47218992506790/71

LCM = 665056232490

Thus, we can understand that the LCM of 355,213,761,962,853 is 665056232490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 213, 761, 962, 853

1. What is the LCM of 355, 213, 761, 962, 853?

Answer: LCM of 355, 213, 761, 962, 853 is 665056232490.

2. How to calculate the LCM of 355, 213, 761, 962, 853?

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 355, 213, 761, 962, 853.

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}.