Given numbers are 428,970,680,458,143

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

The LCM of 428,970,680,458,143 is 231119156840.

Find LCM of 428,970,680,458,143 with Prime Factorization

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

2 x 2 x 5 x 107 x 97 x 34 x 229 x 143 = 231119156840

Therefore, the lowest common multiple of 428,970,680,458,143 is 231119156840.

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.

428 x 970 x 680 x 458 x 143 = 18489532547200

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.

428 : 1, 2, 4, 107, 214, 428

970 : 1, 2, 5, 10, 97, 194, 485, 970

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

458 : 1, 2, 229, 458

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,970,680,458,143, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

970:2x 5x 97

680:2x 2x 2x 5x 17

458:2x 229

143:11x 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 2x 2x 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 18489532547200/(1x80)

LCM = 18489532547200/80

LCM = 231119156840

Thus, we can understand that the LCM of 428,970,680,458,143 is 231119156840.

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

• LCM of 840, 380, 462, 929, 376
• LCM of 382, 347, 180, 346, 454
• LCM of 220, 372, 970, 269, 105
• LCM of 869, 677, 564, 687, 240
• LCM of 998, 814, 839, 682, 843

1. What is the LCM of 428, 970, 680, 458, 143?

Answer: LCM of 428, 970, 680, 458, 143 is 231119156840.

2. How to calculate the LCM of 428, 970, 680, 458, 143?

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 428, 970, 680, 458, 143.

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}.