Given numbers are 546,902,119,452,310

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

The LCM of 546,902,119,452,310 is 146641955460.

Find LCM of 546,902,119,452,310 with Prime Factorization

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

2 x 7 x 39 x 451 x 17 x 226 x 155 = 146641955460

Therefore, the lowest common multiple of 546,902,119,452,310 is 146641955460.

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.

546 x 902 x 119 x 452 x 310 = 8211949505760

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

902 : 1, 2, 11, 22, 41, 82, 451, 902

119 : 1, 7, 17, 119

452 : 1, 2, 4, 113, 226, 452

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,902,119,452,310, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

902:2x 11x 41

119:7x 17

452:2x 2x 113

310:2x 5x 31

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 7 = 56

Therefore, the value for common factors is 56.

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 = 8211949505760/(1x56)

LCM = 8211949505760/56

LCM = 146641955460

Thus, we can understand that the LCM of 546,902,119,452,310 is 146641955460.

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

• LCM of 183, 818, 228, 463, 570
• LCM of 304, 722, 701, 146, 722
• LCM of 233, 909, 127, 296, 949
• LCM of 925, 324, 746, 146, 996
• LCM of 601, 282, 908, 900, 826

1. What is the LCM of 546, 902, 119, 452, 310?

Answer: LCM of 546, 902, 119, 452, 310 is 146641955460.

2. How to calculate the LCM of 546, 902, 119, 452, 310?

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 546, 902, 119, 452, 310.

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}.