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LCM of 704, 326, 471, 429

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


Find the LCM of 704, 326, 471, 429 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 704, 326, 471, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,326,471,429

Given numbers are 704,326,471,429

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

The LCM of 704,326,471,429 is 702626496.

Find LCM of 704,326,471,429 with Prime Factorization


2 704, 326, 471, 429
3 352, 163, 471, 429
11 352, 163, 157, 143
32, 163, 157, 13

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

2 x 3 x 11 x 32 x 163 x 157 x 13 = 702626496

Therefore, the lowest common multiple of 704,326,471,429 is 702626496.

LCM Formula to Find Lowest Common Multiple of 704,326,471,429

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.

704 x 326 x 471 x 429 = 46373348736

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.

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

326 : 1, 2, 163, 326

471 : 1, 3, 157, 471

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,326,471,429, is 1.

Now, the common factors can be found like this.

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

326:2x 163

471:3x 157

429:3x 11x 13

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 = 46373348736/(1x66)

LCM = 46373348736/66

LCM = 702626496

Thus, we can understand that the LCM of 704,326,471,429 is 702626496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 326, 471, 429

1. What is the LCM of 704, 326, 471, 429?

Answer: LCM of 704, 326, 471, 429 is 702626496.

2. How to calculate the LCM of 704, 326, 471, 429?

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 704, 326, 471, 429.

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}.