Given numbers are 464,107,141,214,298

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

The LCM of 464,107,141,214,298 is 1043054832.

Find LCM of 464,107,141,214,298 with Prime Factorization

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

2 x 107 x 232 x 1 x 141 x 1 x 149 = 1043054832

Therefore, the lowest common multiple of 464,107,141,214,298 is 1043054832.

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 107 x 141 x 214 x 298 = 446427468096

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

107 : 1, 107

141 : 1, 3, 47, 141

214 : 1, 2, 107, 214

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,107,141,214,298, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

107:107

141:3x 47

214:2x 107

298:2x 149

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 107 = 428

Therefore, the value for common factors is 428.

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 = 446427468096/(1x428)

LCM = 446427468096/428

LCM = 1043054832

Thus, we can understand that the LCM of 464,107,141,214,298 is 1043054832.

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

• LCM of 185, 720, 335, 820, 602
• LCM of 753, 928, 974, 787, 955
• LCM of 501, 327, 227, 671, 510
• LCM of 525, 597, 263, 779, 869
• LCM of 635, 958, 282, 519, 849

1. What is the LCM of 464, 107, 141, 214, 298?

Answer: LCM of 464, 107, 141, 214, 298 is 1043054832.

2. How to calculate the LCM of 464, 107, 141, 214, 298?

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, 107, 141, 214, 298.

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}.