Given numbers are 381,596,269,978

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

The LCM of 381,596,269,978 is 9956601372.

Find LCM of 381,596,269,978 with Prime Factorization

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

2 x 3 x 127 x 298 x 269 x 163 = 9956601372

Therefore, the lowest common multiple of 381,596,269,978 is 9956601372.

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.

381 x 596 x 269 x 978 = 59739608232

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.

381 : 1, 3, 127, 381

596 : 1, 2, 4, 149, 298, 596

269 : 1, 269

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 381,596,269,978, is 1.

Now, the common factors can be found like this.

381:3x 127

596:2x 2x 149

269:269

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 3 = 6

Therefore, the value for common factors is 6.

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 = 59739608232/(1x6)

LCM = 59739608232/6

LCM = 9956601372

Thus, we can understand that the LCM of 381,596,269,978 is 9956601372.

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

• LCM of 174, 439, 150, 372
• LCM of 336, 895, 700, 941
• LCM of 283, 141, 853, 776
• LCM of 332, 801, 523, 939
• LCM of 891, 866, 498, 267

1. What is the LCM of 381, 596, 269, 978?

Answer: LCM of 381, 596, 269, 978 is 9956601372.

2. How to calculate the LCM of 381, 596, 269, 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 381, 596, 269, 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}.