Given numbers are 821,838,703,142,723

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

The LCM of 821,838,703,142,723 is 24827851937802.

Find LCM of 821,838,703,142,723 with Prime Factorization

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

2 x 821 x 419 x 703 x 71 x 723 = 24827851937802

Therefore, the lowest common multiple of 821,838,703,142,723 is 24827851937802.

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.

821 x 838 x 703 x 142 x 723 = 49655703875604

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.

821 : 1, 821

838 : 1, 2, 419, 838

703 : 1, 19, 37, 703

142 : 1, 2, 71, 142

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,838,703,142,723, is 1.

Now, the common factors can be found like this.

821:821

838:2x 419

703:19x 37

142:2x 71

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 49655703875604/(1x2)

LCM = 49655703875604/2

LCM = 24827851937802

Thus, we can understand that the LCM of 821,838,703,142,723 is 24827851937802.

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

• LCM of 184, 881, 251, 445, 316
• LCM of 680, 810, 637, 292, 725
• LCM of 413, 651, 665, 210, 780
• LCM of 769, 653, 112, 374, 334
• LCM of 144, 356, 322, 922, 568

1. What is the LCM of 821, 838, 703, 142, 723?

Answer: LCM of 821, 838, 703, 142, 723 is 24827851937802.

2. How to calculate the LCM of 821, 838, 703, 142, 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 821, 838, 703, 142, 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}.