Given numbers are 781,146,217,131,972

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

The LCM of 781,146,217,131,972 is 1575328711572.

Find LCM of 781,146,217,131,972 with Prime Factorization

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

2 x 781 x 73 x 217 x 131 x 486 = 1575328711572

Therefore, the lowest common multiple of 781,146,217,131,972 is 1575328711572.

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 146 x 217 x 131 x 972 = 3150657423144

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

146 : 1, 2, 73, 146

217 : 1, 7, 31, 217

131 : 1, 131

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,146,217,131,972, is 1.

Now, the common factors can be found like this.

781:11x 71

146:2x 73

217:7x 31

131:131

972:2x 2x 3x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 3150657423144/(1x2)

LCM = 3150657423144/2

LCM = 1575328711572

Thus, we can understand that the LCM of 781,146,217,131,972 is 1575328711572.

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

• LCM of 924, 509, 164, 406, 360
• LCM of 739, 539, 980, 300, 165
• LCM of 982, 871, 380, 872, 703
• LCM of 504, 102, 854, 724, 166
• LCM of 900, 245, 722, 925, 235

1. What is the LCM of 781, 146, 217, 131, 972?

Answer: LCM of 781, 146, 217, 131, 972 is 1575328711572.

2. How to calculate the LCM of 781, 146, 217, 131, 972?

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, 146, 217, 131, 972.

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}.