Given numbers are 364,458,561,343

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

The LCM of 364,458,561,343 is 2291373084.

Find LCM of 364,458,561,343 with Prime Factorization

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

2 x 7 x 26 x 229 x 561 x 49 = 2291373084

Therefore, the lowest common multiple of 364,458,561,343 is 2291373084.

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.

364 x 458 x 561 x 343 = 32079223176

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

458 : 1, 2, 229, 458

561 : 1, 3, 11, 17, 33, 51, 187, 561

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,458,561,343, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

458:2x 229

561:3x 11x 17

343:7x 7x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 32079223176/(1x14)

LCM = 32079223176/14

LCM = 2291373084

Thus, we can understand that the LCM of 364,458,561,343 is 2291373084.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 625, 165, 827, 379
• LCM of 438, 978, 547, 350
• LCM of 650, 275, 630, 296
• LCM of 429, 242, 297, 893
• LCM of 512, 198, 801, 132

1. What is the LCM of 364, 458, 561, 343?

Answer: LCM of 364, 458, 561, 343 is 2291373084.

2. How to calculate the LCM of 364, 458, 561, 343?

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 364, 458, 561, 343.

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}.