Given numbers are 420,299,874,112,326

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

The LCM of 420,299,874,112,326 is 1555685040.

Find LCM of 420,299,874,112,326 with Prime Factorization

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

2 x 2 x 7 x 23 x 15 x 13 x 19 x 4 x 163 = 1555685040

Therefore, the lowest common multiple of 420,299,874,112,326 is 1555685040.

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.

420 x 299 x 874 x 112 x 326 = 4007444663040

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

299 : 1, 13, 23, 299

874 : 1, 2, 19, 23, 38, 46, 437, 874

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,299,874,112,326, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

299:13x 23

874:2x 19x 23

112:2x 2x 2x 2x 7

326:2x 163

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 2x 2x 7x 23 = 2576

Therefore, the value for common factors is 2576.

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 = 4007444663040/(1x2576)

LCM = 4007444663040/2576

LCM = 1555685040

Thus, we can understand that the LCM of 420,299,874,112,326 is 1555685040.

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

• LCM of 659, 747, 285, 417, 355
• LCM of 229, 196, 555, 891, 624
• LCM of 654, 547, 775, 679, 559
• LCM of 412, 111, 624, 641, 285
• LCM of 709, 515, 961, 432, 971

1. What is the LCM of 420, 299, 874, 112, 326?

Answer: LCM of 420, 299, 874, 112, 326 is 1555685040.

2. How to calculate the LCM of 420, 299, 874, 112, 326?

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 420, 299, 874, 112, 326.

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}.