Given numbers are 748,889,990,723

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

The LCM of 748,889,990,723 is 7211621340.

Find LCM of 748,889,990,723 with Prime Factorization

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

2 x 3 x 11 x 34 x 889 x 15 x 241 = 7211621340

Therefore, the lowest common multiple of 748,889,990,723 is 7211621340.

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.

748 x 889 x 990 x 723 = 475967008440

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

889 : 1, 7, 127, 889

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,889,990,723, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

889:7x 127

990:2x 3x 3x 5x 11

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 475967008440/(1x66)

LCM = 475967008440/66

LCM = 7211621340

Thus, we can understand that the LCM of 748,889,990,723 is 7211621340.

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

• LCM of 531, 426, 373, 685
• LCM of 304, 613, 676, 955
• LCM of 303, 335, 568, 603
• LCM of 475, 552, 357, 410
• LCM of 190, 746, 694, 684

1. What is the LCM of 748, 889, 990, 723?

Answer: LCM of 748, 889, 990, 723 is 7211621340.

2. How to calculate the LCM of 748, 889, 990, 723?

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 748, 889, 990, 723.

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}.