Given numbers are 490,194,210,736,326

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

The LCM of 490,194,210,736,326 is 8553118560.

Find LCM of 490,194,210,736,326 with Prime Factorization

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

2 x 5 x 7 x 7 x 97 x 3 x 368 x 163 = 8553118560

Therefore, the lowest common multiple of 490,194,210,736,326 is 8553118560.

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.

490 x 194 x 210 x 736 x 326 = 4789746393600

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

194 : 1, 2, 97, 194

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,194,210,736,326, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

194:2x 97

210:2x 3x 5x 7

736:2x 2x 2x 2x 2x 23

326:2x 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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 4789746393600/(2x280)

LCM = 4789746393600/560

LCM = 8553118560

Thus, we can understand that the LCM of 490,194,210,736,326 is 8553118560.

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

• LCM of 584, 755, 743, 716, 981
• LCM of 709, 939, 128, 376, 496
• LCM of 989, 182, 158, 567, 581
• LCM of 297, 556, 243, 588, 618
• LCM of 336, 687, 796, 652, 172

1. What is the LCM of 490, 194, 210, 736, 326?

Answer: LCM of 490, 194, 210, 736, 326 is 8553118560.

2. How to calculate the LCM of 490, 194, 210, 736, 326?

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 490, 194, 210, 736, 326.

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}.