Given numbers are 753,161,304,936,874

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

The LCM of 753,161,304,936,874 is 1437338448.

Find LCM of 753,161,304,936,874 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 23 x 251 x 7 x 2 x 39 x 1 = 1437338448

Therefore, the lowest common multiple of 753,161,304,936,874 is 1437338448.

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.

753 x 161 x 304 x 936 x 874 = 30149611285248

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.

753 : 1, 3, 251, 753

161 : 1, 7, 23, 161

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,161,304,936,874, is 1.

Now, the common factors can be found like this.

753:3x 251

161:7x 23

304:2x 2x 2x 2x 19

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

874:2x 19x 23

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 3x 19x 23 = 20976

Therefore, the value for common factors is 20976.

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 = 30149611285248/(1x20976)

LCM = 30149611285248/20976

LCM = 1437338448

Thus, we can understand that the LCM of 753,161,304,936,874 is 1437338448.

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

• LCM of 794, 112, 137, 858, 756
• LCM of 603, 752, 538, 590, 530
• LCM of 939, 473, 365, 555, 786
• LCM of 945, 475, 628, 549, 198
• LCM of 489, 310, 136, 199, 387

1. What is the LCM of 753, 161, 304, 936, 874?

Answer: LCM of 753, 161, 304, 936, 874 is 1437338448.

2. How to calculate the LCM of 753, 161, 304, 936, 874?

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 753, 161, 304, 936, 874.

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}.