Given numbers are 971,281,749,758,972

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

The LCM of 971,281,749,758,972 is 75285760606812.

Find LCM of 971,281,749,758,972 with Prime Factorization

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

2 x 971 x 281 x 749 x 379 x 486 = 75285760606812

Therefore, the lowest common multiple of 971,281,749,758,972 is 75285760606812.

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.

971 x 281 x 749 x 758 x 972 = 150571521213624

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.

971 : 1, 971

281 : 1, 281

749 : 1, 7, 107, 749

758 : 1, 2, 379, 758

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,281,749,758,972, is 1.

Now, the common factors can be found like this.

971:971

281:281

749:7x 107

758:2x 379

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 150571521213624/(1x2)

LCM = 150571521213624/2

LCM = 75285760606812

Thus, we can understand that the LCM of 971,281,749,758,972 is 75285760606812.

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

• LCM of 476, 546, 658, 502, 892
• LCM of 889, 362, 648, 966, 469
• LCM of 971, 230, 982, 912, 898
• LCM of 182, 678, 467, 894, 415
• LCM of 347, 263, 502, 817, 780

1. What is the LCM of 971, 281, 749, 758, 972?

Answer: LCM of 971, 281, 749, 758, 972 is 75285760606812.

2. How to calculate the LCM of 971, 281, 749, 758, 972?

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 971, 281, 749, 758, 972.

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}.