Given numbers are 126,490,224,532,526

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

The LCM of 126,490,224,532,526 is 352588320.

Find LCM of 126,490,224,532,526 with Prime Factorization

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

2 x 2 x 7 x 9 x 35 x 8 x 19 x 263 = 352588320

Therefore, the lowest common multiple of 126,490,224,532,526 is 352588320.

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.

126 x 490 x 224 x 532 x 526 = 3870009400320

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

526 : 1, 2, 263, 526

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,490,224,532,526, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

490:2x 5x 7x 7

224:2x 2x 2x 2x 2x 7

532:2x 2x 7x 19

526:2x 263

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 7x 7x 7 = 5488

Therefore, the value for common factors is 5488.

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 = 3870009400320/(2x5488)

LCM = 3870009400320/10976

LCM = 352588320

Thus, we can understand that the LCM of 126,490,224,532,526 is 352588320.

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

• LCM of 229, 695, 374, 423, 679
• LCM of 539, 907, 483, 745, 799
• LCM of 672, 284, 637, 939, 641
• LCM of 584, 582, 941, 351, 610
• LCM of 326, 602, 214, 793, 300

1. What is the LCM of 126, 490, 224, 532, 526?

Answer: LCM of 126, 490, 224, 532, 526 is 352588320.

2. How to calculate the LCM of 126, 490, 224, 532, 526?

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 126, 490, 224, 532, 526.

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}.