Given numbers are 781,142,106,120

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

The LCM of 781,142,106,120 is 4967160.

Find LCM of 781,142,106,120 with Prime Factorization

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

2 x 71 x 11 x 1 x 53 x 60 = 4967160

Therefore, the lowest common multiple of 781,142,106,120 is 4967160.

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 142 x 106 x 120 = 1410673440

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

142 : 1, 2, 71, 142

106 : 1, 2, 53, 106

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,142,106,120, is 1.

Now, the common factors can be found like this.

781:11x 71

142:2x 71

106:2x 53

120:2x 2x 2x 3x 5

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 71 = 284

Therefore, the value for common factors is 284.

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 = 1410673440/(1x284)

LCM = 1410673440/284

LCM = 4967160

Thus, we can understand that the LCM of 781,142,106,120 is 4967160.

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

• LCM of 948, 833, 420, 764
• LCM of 375, 409, 844, 668
• LCM of 406, 215, 291, 310
• LCM of 389, 954, 125, 404
• LCM of 325, 358, 283, 427

1. What is the LCM of 781, 142, 106, 120?

Answer: LCM of 781, 142, 106, 120 is 4967160.

2. How to calculate the LCM of 781, 142, 106, 120?

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, 142, 106, 120.

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}.