Given numbers are 125,924,154,404,748

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

The LCM of 125,924,154,404,748 is 198313500.

Find LCM of 125,924,154,404,748 with Prime Factorization

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

2 x 2 x 7 x 11 x 125 x 3 x 1 x 101 x 17 = 198313500

Therefore, the lowest common multiple of 125,924,154,404,748 is 198313500.

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.

125 x 924 x 154 x 404 x 748 = 5375089104000

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.

125 : 1, 5, 25, 125

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

154 : 1, 2, 7, 11, 14, 22, 77, 154

404 : 1, 2, 4, 101, 202, 404

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,924,154,404,748, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

924:2x 2x 3x 7x 11

154:2x 7x 11

404:2x 2x 101

748:2x 2x 11x 17

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 2x 7x 11x 11 = 27104

Therefore, the value for common factors is 27104.

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 = 5375089104000/(1x27104)

LCM = 5375089104000/27104

LCM = 198313500

Thus, we can understand that the LCM of 125,924,154,404,748 is 198313500.

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

• LCM of 569, 473, 208, 797, 974
• LCM of 338, 613, 287, 260, 282
• LCM of 544, 275, 662, 966, 760
• LCM of 965, 141, 592, 907, 146
• LCM of 101, 751, 738, 919, 611

1. What is the LCM of 125, 924, 154, 404, 748?

Answer: LCM of 125, 924, 154, 404, 748 is 198313500.

2. How to calculate the LCM of 125, 924, 154, 404, 748?

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 125, 924, 154, 404, 748.

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}.