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LCM of 613, 642, 701, 708, 533

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


Find the LCM of 613, 642, 701, 708, 533 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 613, 642, 701, 708, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,642,701,708,533

Given numbers are 613,642,701,708,533

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

The LCM of 613,642,701,708,533 is 17350929168924.

Find LCM of 613,642,701,708,533 with Prime Factorization


2 613, 642, 701, 708, 533
3 613, 321, 701, 354, 533
613, 107, 701, 118, 533

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

2 x 3 x 613 x 107 x 701 x 118 x 533 = 17350929168924

Therefore, the lowest common multiple of 613,642,701,708,533 is 17350929168924.

LCM Formula to Find Lowest Common Multiple of 613,642,701,708,533

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.

613 x 642 x 701 x 708 x 533 = 104105575013544

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.

613 : 1, 613

642 : 1, 2, 3, 6, 107, 214, 321, 642

701 : 1, 701

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,642,701,708,533, is 1.

Now, the common factors can be found like this.

613:613

642:2x 3x 107

701:701

708:2x 2x 3x 59

533:13x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 104105575013544/(1x6)

LCM = 104105575013544/6

LCM = 17350929168924

Thus, we can understand that the LCM of 613,642,701,708,533 is 17350929168924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 642, 701, 708, 533

1. What is the LCM of 613, 642, 701, 708, 533?

Answer: LCM of 613, 642, 701, 708, 533 is 17350929168924.

2. How to calculate the LCM of 613, 642, 701, 708, 533?

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 613, 642, 701, 708, 533.

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}.