Given numbers are 346,130,478,221,978

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

The LCM of 346,130,478,221,978 is 44683289430.

Find LCM of 346,130,478,221,978 with Prime Factorization

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

2 x 13 x 173 x 5 x 239 x 17 x 489 = 44683289430

Therefore, the lowest common multiple of 346,130,478,221,978 is 44683289430.

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.

346 x 130 x 478 x 221 x 978 = 4647062100720

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.

346 : 1, 2, 173, 346

130 : 1, 2, 5, 10, 13, 26, 65, 130

478 : 1, 2, 239, 478

221 : 1, 13, 17, 221

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,130,478,221,978, is 1.

Now, the common factors can be found like this.

346:2x 173

130:2x 5x 13

478:2x 239

221:13x 17

978:2x 3x 163

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 13 = 104

Therefore, the value for common factors is 104.

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 = 4647062100720/(1x104)

LCM = 4647062100720/104

LCM = 44683289430

Thus, we can understand that the LCM of 346,130,478,221,978 is 44683289430.

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

• LCM of 882, 635, 172, 708, 967
• LCM of 882, 859, 877, 999, 427
• LCM of 607, 456, 717, 737, 835
• LCM of 947, 859, 294, 597, 857
• LCM of 557, 871, 250, 754, 947

1. What is the LCM of 346, 130, 478, 221, 978?

Answer: LCM of 346, 130, 478, 221, 978 is 44683289430.

2. How to calculate the LCM of 346, 130, 478, 221, 978?

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 346, 130, 478, 221, 978.

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}.