Given numbers are 295,234,164,742

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

The LCM of 295,234,164,742 is 2100030660.

Find LCM of 295,234,164,742 with Prime Factorization

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

2 x 295 x 117 x 82 x 371 = 2100030660

Therefore, the lowest common multiple of 295,234,164,742 is 2100030660.

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.

295 x 234 x 164 x 742 = 8400122640

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.

295 : 1, 5, 59, 295

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

164 : 1, 2, 4, 41, 82, 164

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 295,234,164,742, is 1.

Now, the common factors can be found like this.

295:5x 59

234:2x 3x 3x 13

164:2x 2x 41

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 2 = 4

Therefore, the value for common factors is 4.

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 = 8400122640/(1x4)

LCM = 8400122640/4

LCM = 2100030660

Thus, we can understand that the LCM of 295,234,164,742 is 2100030660.

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

• LCM of 493, 290, 668, 954
• LCM of 844, 471, 799, 310
• LCM of 126, 736, 713, 458
• LCM of 944, 552, 458, 404
• LCM of 238, 908, 278, 335

1. What is the LCM of 295, 234, 164, 742?

Answer: LCM of 295, 234, 164, 742 is 2100030660.

2. How to calculate the LCM of 295, 234, 164, 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 295, 234, 164, 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}.