Given numbers are 744,754,270,946

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

The LCM of 744,754,270,946 is 5970187080.

Find LCM of 744,754,270,946 with Prime Factorization

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

2 x 3 x 124 x 377 x 45 x 473 = 5970187080

Therefore, the lowest common multiple of 744,754,270,946 is 5970187080.

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.

744 x 754 x 270 x 946 = 143284489920

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.

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,754,270,946, is 2.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

754:2x 13x 29

270:2x 3x 3x 3x 5

946:2x 11x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 143284489920/(2x12)

LCM = 143284489920/24

LCM = 5970187080

Thus, we can understand that the LCM of 744,754,270,946 is 5970187080.

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

• LCM of 199, 845, 520, 794
• LCM of 874, 915, 439, 993
• LCM of 573, 719, 373, 411
• LCM of 505, 118, 137, 196
• LCM of 137, 463, 519, 908

1. What is the LCM of 744, 754, 270, 946?

Answer: LCM of 744, 754, 270, 946 is 5970187080.

2. How to calculate the LCM of 744, 754, 270, 946?

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 744, 754, 270, 946.

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}.