Given numbers are 273,209,104,152,542

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

The LCM of 273,209,104,152,542 is 123699576.

Find LCM of 273,209,104,152,542 with Prime Factorization

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

2 x 2 x 2 x 13 x 19 x 21 x 11 x 1 x 1 x 271 = 123699576

Therefore, the lowest common multiple of 273,209,104,152,542 is 123699576.

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.

273 x 209 x 104 x 152 x 542 = 488860724352

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

209 : 1, 11, 19, 209

104 : 1, 2, 4, 8, 13, 26, 52, 104

152 : 1, 2, 4, 8, 19, 38, 76, 152

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,209,104,152,542, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

209:11x 19

104:2x 2x 2x 13

152:2x 2x 2x 19

542:2x 271

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 13x 19 = 3952

Therefore, the value for common factors is 3952.

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 = 488860724352/(1x3952)

LCM = 488860724352/3952

LCM = 123699576

Thus, we can understand that the LCM of 273,209,104,152,542 is 123699576.

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

• LCM of 966, 125, 219, 237, 144
• LCM of 949, 660, 560, 123, 709
• LCM of 370, 400, 291, 836, 885
• LCM of 886, 184, 305, 226, 118
• LCM of 745, 931, 334, 802, 331

1. What is the LCM of 273, 209, 104, 152, 542?

Answer: LCM of 273, 209, 104, 152, 542 is 123699576.

2. How to calculate the LCM of 273, 209, 104, 152, 542?

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 273, 209, 104, 152, 542.

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}.