Given numbers are 781,248,142,24

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

The LCM of 781,248,142,24 is 581064.

Find LCM of 781,248,142,24 with Prime Factorization

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

2 x 2 x 2 x 71 x 11 x 31 x 1 x 3 = 581064

Therefore, the lowest common multiple of 781,248,142,24 is 581064.

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.

781 x 248 x 142 x 24 = 660088704

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.

781 : 1, 11, 71, 781

248 : 1, 2, 4, 8, 31, 62, 124, 248

142 : 1, 2, 71, 142

24 : 1, 2, 3, 4, 6, 8, 12, 24

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,248,142,24, is 1.

Now, the common factors can be found like this.

781:11x 71

248:2x 2x 2x 31

142:2x 71

24:2x 2x 2x 3

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 71 = 1136

Therefore, the value for common factors is 1136.

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 = 660088704/(1x1136)

LCM = 660088704/1136

LCM = 581064

Thus, we can understand that the LCM of 781,248,142,24 is 581064.

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

• LCM of 900, 227, 178, 73
• LCM of 748, 980, 810, 80
• LCM of 560, 699, 257, 46
• LCM of 782, 530, 188, 54
• LCM of 703, 840, 896, 79

1. What is the LCM of 781, 248, 142, 24?

Answer: LCM of 781, 248, 142, 24 is 581064.

2. How to calculate the LCM of 781, 248, 142, 24?

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 781, 248, 142, 24.

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}.