Given numbers are 576,168,378,137,546

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

The LCM of 576,168,378,137,546 is 21542976.

Find LCM of 576,168,378,137,546 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 8 x 1 x 3 x 137 x 13 = 21542976

Therefore, the lowest common multiple of 576,168,378,137,546 is 21542976.

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.

576 x 168 x 378 x 137 x 546 = 2736130295808

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

137 : 1, 137

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,168,378,137,546, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

168:2x 2x 2x 3x 7

378:2x 3x 3x 3x 7

137:137

546:2x 3x 7x 13

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 2x 3x 3x 3x 3x 7x 7 = 127008

Therefore, the value for common factors is 127008.

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 = 2736130295808/(1x127008)

LCM = 2736130295808/127008

LCM = 21542976

Thus, we can understand that the LCM of 576,168,378,137,546 is 21542976.

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

• LCM of 561, 962, 433, 120, 551
• LCM of 546, 823, 140, 483, 233
• LCM of 802, 358, 472, 160, 982
• LCM of 988, 427, 188, 672, 934
• LCM of 461, 364, 997, 468, 390

1. What is the LCM of 576, 168, 378, 137, 546?

Answer: LCM of 576, 168, 378, 137, 546 is 21542976.

2. How to calculate the LCM of 576, 168, 378, 137, 546?

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 576, 168, 378, 137, 546.

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}.