Given numbers are 189,250,781,936,674

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

The LCM of 189,250,781,936,674 is 646675029000.

Find LCM of 189,250,781,936,674 with Prime Factorization

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

2 x 3 x 3 x 21 x 125 x 781 x 52 x 337 = 646675029000

Therefore, the lowest common multiple of 189,250,781,936,674 is 646675029000.

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.

189 x 250 x 781 x 936 x 674 = 23280301044000

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

250 : 1, 2, 5, 10, 25, 50, 125, 250

781 : 1, 11, 71, 781

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,250,781,936,674, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

250:2x 5x 5x 5

781:11x 71

936:2x 2x 2x 3x 3x 13

674:2x 337

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 23280301044000/(1x36)

LCM = 23280301044000/36

LCM = 646675029000

Thus, we can understand that the LCM of 189,250,781,936,674 is 646675029000.

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

• LCM of 844, 144, 929, 148, 688
• LCM of 242, 166, 131, 696, 395
• LCM of 235, 427, 510, 389, 888
• LCM of 938, 116, 374, 710, 449
• LCM of 573, 371, 627, 823, 720

1. What is the LCM of 189, 250, 781, 936, 674?

Answer: LCM of 189, 250, 781, 936, 674 is 646675029000.

2. How to calculate the LCM of 189, 250, 781, 936, 674?

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 189, 250, 781, 936, 674.

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}.