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LCM of 291, 434, 704

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


Find the LCM of 291, 434, 704 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 291, 434, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 291,434,704

Given numbers are 291,434,704

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

The LCM of 291,434,704 is 44455488.

Find LCM of 291,434,704 with Prime Factorization


2 291, 434, 704
291, 217, 352

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

2 x 291 x 217 x 352 = 44455488

Therefore, the lowest common multiple of 291,434,704 is 44455488.

LCM Formula to Find Lowest Common Multiple of 291,434,704

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.

291 x 434 x 704 = 88910976

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.

291 : 1, 3, 97, 291

434 : 1, 2, 7, 14, 31, 62, 217, 434

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,434,704, is 1.

Now, the common factors can be found like this.

291:3x 97

434:2x 7x 31

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

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 = 88910976/(1x2)

LCM = 88910976/2

LCM = 44455488

Thus, we can understand that the LCM of 291,434,704 is 44455488.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 291, 434, 704

1. What is the LCM of 291, 434, 704?

Answer: LCM of 291, 434, 704 is 44455488.

2. How to calculate the LCM of 291, 434, 704?

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 291, 434, 704.

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}.