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LCM of 949, 660, 415, 528

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


Find the LCM of 949, 660, 415, 528 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 949, 660, 415, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,660,415,528

Given numbers are 949,660,415,528

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

The LCM of 949,660,415,528 is 207944880.

Find LCM of 949,660,415,528 with Prime Factorization


2 949, 660, 415, 528
2 949, 330, 415, 264
3 949, 165, 415, 132
5 949, 55, 415, 44
11 949, 11, 83, 44
949, 1, 83, 4

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

2 x 2 x 3 x 5 x 11 x 949 x 1 x 83 x 4 = 207944880

Therefore, the lowest common multiple of 949,660,415,528 is 207944880.

LCM Formula to Find Lowest Common Multiple of 949,660,415,528

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.

949 x 660 x 415 x 528 = 137243620800

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.

949 : 1, 13, 73, 949

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

415 : 1, 5, 83, 415

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,660,415,528, is 1.

Now, the common factors can be found like this.

949:13x 73

660:2x 2x 3x 5x 11

415:5x 83

528:2x 2x 2x 2x 3x 11

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

2x 2x 3x 5x 11 = 660

Therefore, the value for common factors is 660.

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 = 137243620800/(1x660)

LCM = 137243620800/660

LCM = 207944880

Thus, we can understand that the LCM of 949,660,415,528 is 207944880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 660, 415, 528

1. What is the LCM of 949, 660, 415, 528?

Answer: LCM of 949, 660, 415, 528 is 207944880.

2. How to calculate the LCM of 949, 660, 415, 528?

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 949, 660, 415, 528.

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}.