Given numbers are 926,10,274,494

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

The LCM of 926,10,274,494 is 156674570.

Find LCM of 926,10,274,494 with Prime Factorization

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

2 x 463 x 5 x 137 x 247 = 156674570

Therefore, the lowest common multiple of 926,10,274,494 is 156674570.

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.

926 x 10 x 274 x 494 = 1253396560

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.

926 : 1, 2, 463, 926

10 : 1, 2, 5, 10

274 : 1, 2, 137, 274

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,10,274,494, is 2.

Now, the common factors can be found like this.

926:2x 463

10:2x 5

274:2x 137

494:2x 13x 19

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 = 1253396560/(2x4)

LCM = 1253396560/8

LCM = 156674570

Thus, we can understand that the LCM of 926,10,274,494 is 156674570.

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

• LCM of 156, 60, 961, 831
• LCM of 935, 64, 379, 125
• LCM of 552, 59, 708, 906
• LCM of 845, 53, 335, 935
• LCM of 508, 63, 327, 997

1. What is the LCM of 926, 10, 274, 494?

Answer: LCM of 926, 10, 274, 494 is 156674570.

2. How to calculate the LCM of 926, 10, 274, 494?

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 926, 10, 274, 494.

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}.