Given numbers are 458,138,326,414,143

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

The LCM of 458,138,326,414,143 is 2209833054.

Find LCM of 458,138,326,414,143 with Prime Factorization

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

2 x 3 x 23 x 229 x 1 x 163 x 3 x 143 = 2209833054

Therefore, the lowest common multiple of 458,138,326,414,143 is 2209833054.

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.

458 x 138 x 326 x 414 x 143 = 1219827845808

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.

458 : 1, 2, 229, 458

138 : 1, 2, 3, 6, 23, 46, 69, 138

326 : 1, 2, 163, 326

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,138,326,414,143, is 1.

Now, the common factors can be found like this.

458:2x 229

138:2x 3x 23

326:2x 163

414:2x 3x 3x 23

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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 1219827845808/(1x552)

LCM = 1219827845808/552

LCM = 2209833054

Thus, we can understand that the LCM of 458,138,326,414,143 is 2209833054.

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

• LCM of 435, 653, 758, 425, 482
• LCM of 889, 152, 549, 364, 523
• LCM of 688, 605, 142, 582, 995
• LCM of 199, 960, 249, 942, 299
• LCM of 577, 561, 931, 417, 395

1. What is the LCM of 458, 138, 326, 414, 143?

Answer: LCM of 458, 138, 326, 414, 143 is 2209833054.

2. How to calculate the LCM of 458, 138, 326, 414, 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 458, 138, 326, 414, 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}.