Given numbers are 750,972,578,874,274

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

The LCM of 750,972,578,874,274 is 2102210131500.

Find LCM of 750,972,578,874,274 with Prime Factorization

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

2 x 3 x 125 x 162 x 289 x 437 x 137 = 2102210131500

Therefore, the lowest common multiple of 750,972,578,874,274 is 2102210131500.

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.

750 x 972 x 578 x 874 x 274 = 100906086312000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

578 : 1, 2, 17, 34, 289, 578

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

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,972,578,874,274, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

972:2x 2x 3x 3x 3x 3x 3

578:2x 17x 17

874:2x 19x 23

274:2x 137

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 3 = 24

Therefore, the value for common factors is 24.

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 = 100906086312000/(2x24)

LCM = 100906086312000/48

LCM = 2102210131500

Thus, we can understand that the LCM of 750,972,578,874,274 is 2102210131500.

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

• LCM of 958, 436, 389, 880, 313
• LCM of 696, 219, 898, 668, 740
• LCM of 206, 811, 991, 264, 206
• LCM of 202, 156, 579, 604, 865
• LCM of 704, 792, 769, 491, 235

1. What is the LCM of 750, 972, 578, 874, 274?

Answer: LCM of 750, 972, 578, 874, 274 is 2102210131500.

2. How to calculate the LCM of 750, 972, 578, 874, 274?

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 750, 972, 578, 874, 274.

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}.