Given numbers are 478,115,942,114

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

The LCM of 478,115,942,114 is 491926530.

Find LCM of 478,115,942,114 with Prime Factorization

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

2 x 3 x 239 x 115 x 157 x 19 = 491926530

Therefore, the lowest common multiple of 478,115,942,114 is 491926530.

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.

478 x 115 x 942 x 114 = 5903118360

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.

478 : 1, 2, 239, 478

115 : 1, 5, 23, 115

942 : 1, 2, 3, 6, 157, 314, 471, 942

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,115,942,114, is 1.

Now, the common factors can be found like this.

478:2x 239

115:5x 23

942:2x 3x 157

114:2x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5903118360/(1x12)

LCM = 5903118360/12

LCM = 491926530

Thus, we can understand that the LCM of 478,115,942,114 is 491926530.

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

• LCM of 776, 417, 361, 778
• LCM of 311, 340, 960, 410
• LCM of 204, 624, 513, 899
• LCM of 570, 870, 708, 701
• LCM of 364, 305, 108, 700

1. What is the LCM of 478, 115, 942, 114?

Answer: LCM of 478, 115, 942, 114 is 491926530.

2. How to calculate the LCM of 478, 115, 942, 114?

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 478, 115, 942, 114.

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}.