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LCM of 661, 949, 533, 964

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


Find the LCM of 661, 949, 533, 964 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 661, 949, 533, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,949,533,964

Given numbers are 661,949,533,964

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

The LCM of 661,949,533,964 is 24792970436.

Find LCM of 661,949,533,964 with Prime Factorization


13 661, 949, 533, 964
661, 73, 41, 964

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

13 x 661 x 73 x 41 x 964 = 24792970436

Therefore, the lowest common multiple of 661,949,533,964 is 24792970436.

LCM Formula to Find Lowest Common Multiple of 661,949,533,964

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.

661 x 949 x 533 x 964 = 322308615668

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.

661 : 1, 661

949 : 1, 13, 73, 949

533 : 1, 13, 41, 533

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,949,533,964, is 1.

Now, the common factors can be found like this.

661:661

949:13x 73

533:13x 41

964:2x 2x 241

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

13 = 13

Therefore, the value for common factors is 13.

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 = 322308615668/(1x13)

LCM = 322308615668/13

LCM = 24792970436

Thus, we can understand that the LCM of 661,949,533,964 is 24792970436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 949, 533, 964

1. What is the LCM of 661, 949, 533, 964?

Answer: LCM of 661, 949, 533, 964 is 24792970436.

2. How to calculate the LCM of 661, 949, 533, 964?

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 661, 949, 533, 964.

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}.