Given numbers are 588,744,293,504,742

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

The LCM of 588,744,293,504,742 is 1698375672.

Find LCM of 588,744,293,504,742 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 7 x 31 x 293 x 3 x 53 = 1698375672

Therefore, the lowest common multiple of 588,744,293,504,742 is 1698375672.

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.

588 x 744 x 293 x 504 x 742 = 47934954966528

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

293 : 1, 293

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,744,293,504,742, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

744:2x 2x 2x 3x 31

293:293

504:2x 2x 2x 3x 3x 7

742:2x 7x 53

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 2x 3x 3x 7x 7 = 28224

Therefore, the value for common factors is 28224.

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 = 47934954966528/(1x28224)

LCM = 47934954966528/28224

LCM = 1698375672

Thus, we can understand that the LCM of 588,744,293,504,742 is 1698375672.

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

• LCM of 378, 553, 655, 970, 833
• LCM of 843, 274, 723, 441, 143
• LCM of 568, 995, 615, 291, 256
• LCM of 355, 928, 656, 306, 286
• LCM of 267, 382, 370, 683, 422

1. What is the LCM of 588, 744, 293, 504, 742?

Answer: LCM of 588, 744, 293, 504, 742 is 1698375672.

2. How to calculate the LCM of 588, 744, 293, 504, 742?

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 588, 744, 293, 504, 742.

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}.