Given numbers are 464,348,336,758

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

The LCM of 464,348,336,758 is 3692976.

Find LCM of 464,348,336,758 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 29 x 1 x 1 x 7 x 379 = 3692976

Therefore, the lowest common multiple of 464,348,336,758 is 3692976.

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.

464 x 348 x 336 x 758 = 41124980736

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.

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

758 : 1, 2, 379, 758

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,348,336,758, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

348:2x 2x 3x 29

336:2x 2x 2x 2x 3x 7

758:2x 379

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 2x 2x 2x 3x 29 = 5568

Therefore, the value for common factors is 5568.

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 = 41124980736/(2x5568)

LCM = 41124980736/11136

LCM = 3692976

Thus, we can understand that the LCM of 464,348,336,758 is 3692976.

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

• LCM of 335, 590, 545, 871
• LCM of 942, 345, 880, 633
• LCM of 645, 243, 454, 162
• LCM of 208, 249, 762, 513
• LCM of 673, 943, 886, 980

1. What is the LCM of 464, 348, 336, 758?

Answer: LCM of 464, 348, 336, 758 is 3692976.

2. How to calculate the LCM of 464, 348, 336, 758?

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 464, 348, 336, 758.

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}.