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LCM of 946, 407, 308, 847, 464

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


Find the LCM of 946, 407, 308, 847, 464 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 946, 407, 308, 847, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,407,308,847,464

Given numbers are 946,407,308,847,464

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

The LCM of 946,407,308,847,464 is 625275728.

Find LCM of 946,407,308,847,464 with Prime Factorization


2 946, 407, 308, 847, 464
2 473, 407, 154, 847, 232
7 473, 407, 77, 847, 116
11 473, 407, 11, 121, 116
43, 37, 1, 11, 116

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

2 x 2 x 7 x 11 x 43 x 37 x 1 x 11 x 116 = 625275728

Therefore, the lowest common multiple of 946,407,308,847,464 is 625275728.

LCM Formula to Find Lowest Common Multiple of 946,407,308,847,464

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.

946 x 407 x 308 x 847 x 464 = 46605551662208

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

407 : 1, 11, 37, 407

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

847 : 1, 7, 11, 77, 121, 847

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,407,308,847,464, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

407:11x 37

308:2x 2x 7x 11

847:7x 11x 11

464:2x 2x 2x 2x 29

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 7x 11x 11x 11 = 74536

Therefore, the value for common factors is 74536.

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 = 46605551662208/(1x74536)

LCM = 46605551662208/74536

LCM = 625275728

Thus, we can understand that the LCM of 946,407,308,847,464 is 625275728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 407, 308, 847, 464

1. What is the LCM of 946, 407, 308, 847, 464?

Answer: LCM of 946, 407, 308, 847, 464 is 625275728.

2. How to calculate the LCM of 946, 407, 308, 847, 464?

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 946, 407, 308, 847, 464.

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}.