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LCM of 741, 407, 704, 678

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


Find the LCM of 741, 407, 704, 678 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 741, 407, 704, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,407,704,678

Given numbers are 741,407,704,678

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

The LCM of 741,407,704,678 is 2181077184.

Find LCM of 741,407,704,678 with Prime Factorization


2 741, 407, 704, 678
3 741, 407, 352, 339
11 247, 407, 352, 113
247, 37, 32, 113

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

2 x 3 x 11 x 247 x 37 x 32 x 113 = 2181077184

Therefore, the lowest common multiple of 741,407,704,678 is 2181077184.

LCM Formula to Find Lowest Common Multiple of 741,407,704,678

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.

741 x 407 x 704 x 678 = 143951094144

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

407 : 1, 11, 37, 407

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,407,704,678, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

407:11x 37

704:2x 2x 2x 2x 2x 2x 11

678:2x 3x 113

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 143951094144/(1x66)

LCM = 143951094144/66

LCM = 2181077184

Thus, we can understand that the LCM of 741,407,704,678 is 2181077184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 407, 704, 678

1. What is the LCM of 741, 407, 704, 678?

Answer: LCM of 741, 407, 704, 678 is 2181077184.

2. How to calculate the LCM of 741, 407, 704, 678?

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 741, 407, 704, 678.

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}.