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LCM of 416, 848, 742, 964

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


Find the LCM of 416, 848, 742, 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 416, 848, 742, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,848,742,964

Given numbers are 416,848,742,964

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

The LCM of 416,848,742,964 is 37194976.

Find LCM of 416,848,742,964 with Prime Factorization


2 416, 848, 742, 964
2 208, 424, 371, 482
2 104, 212, 371, 241
2 52, 106, 371, 241
53 26, 53, 371, 241
26, 1, 7, 241

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

2 x 2 x 2 x 2 x 53 x 26 x 1 x 7 x 241 = 37194976

Therefore, the lowest common multiple of 416,848,742,964 is 37194976.

LCM Formula to Find Lowest Common Multiple of 416,848,742,964

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.

416 x 848 x 742 x 964 = 252330717184

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

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,848,742,964, is 2.

Now, the common factors can be found like this.

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

848:2x 2x 2x 2x 53

742:2x 7x 53

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.

2x 2x 2x 2x 2x 2x 53 = 3392

Therefore, the value for common factors is 3392.

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 = 252330717184/(2x3392)

LCM = 252330717184/6784

LCM = 37194976

Thus, we can understand that the LCM of 416,848,742,964 is 37194976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 848, 742, 964

1. What is the LCM of 416, 848, 742, 964?

Answer: LCM of 416, 848, 742, 964 is 37194976.

2. How to calculate the LCM of 416, 848, 742, 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 416, 848, 742, 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}.