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LCM of 416, 930, 773

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


Find the LCM of 416, 930, 773 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 416, 930, 773. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,930,773

Given numbers are 416,930,773

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

The LCM of 416,930,773 is 149529120.

Find LCM of 416,930,773 with Prime Factorization


2 416, 930, 773
208, 465, 773

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

2 x 208 x 465 x 773 = 149529120

Therefore, the lowest common multiple of 416,930,773 is 149529120.

LCM Formula to Find Lowest Common Multiple of 416,930,773

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.

416 x 930 x 773 = 299058240

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

773 : 1, 773

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,930,773, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

930:2x 3x 5x 31

773:773

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

2 = 2

Therefore, the value for common factors is 2.

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 = 299058240/(1x2)

LCM = 299058240/2

LCM = 149529120

Thus, we can understand that the LCM of 416,930,773 is 149529120.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 416, 930, 773

1. What is the LCM of 416, 930, 773?

Answer: LCM of 416, 930, 773 is 149529120.

2. How to calculate the LCM of 416, 930, 773?

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 416, 930, 773.

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}.