Given numbers are 749,497,381,364,140

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

The LCM of 749,497,381,364,140 is 5267911740.

Find LCM of 749,497,381,364,140 with Prime Factorization

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

2 x 2 x 7 x 107 x 71 x 381 x 13 x 5 = 5267911740

Therefore, the lowest common multiple of 749,497,381,364,140 is 5267911740.

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.

749 x 497 x 381 x 364 x 140 = 7227574907280

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.

749 : 1, 7, 107, 749

497 : 1, 7, 71, 497

381 : 1, 3, 127, 381

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,497,381,364,140, is 1.

Now, the common factors can be found like this.

749:7x 107

497:7x 71

381:3x 127

364:2x 2x 7x 13

140:2x 2x 5x 7

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 7x 7x 7 = 1372

Therefore, the value for common factors is 1372.

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 = 7227574907280/(1x1372)

LCM = 7227574907280/1372

LCM = 5267911740

Thus, we can understand that the LCM of 749,497,381,364,140 is 5267911740.

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

• LCM of 401, 301, 285, 823, 565
• LCM of 538, 434, 982, 889, 547
• LCM of 288, 393, 532, 402, 667
• LCM of 499, 910, 876, 300, 285
• LCM of 619, 565, 382, 864, 746

1. What is the LCM of 749, 497, 381, 364, 140?

Answer: LCM of 749, 497, 381, 364, 140 is 5267911740.

2. How to calculate the LCM of 749, 497, 381, 364, 140?

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 749, 497, 381, 364, 140.

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}.