Given numbers are 972,706,745,149,557

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

The LCM of 972,706,745,149,557 is 142381130940.

Find LCM of 972,706,745,149,557 with Prime Factorization

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

2 x 149 x 486 x 353 x 5 x 1 x 557 = 142381130940

Therefore, the lowest common multiple of 972,706,745,149,557 is 142381130940.

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.

972 x 706 x 745 x 149 x 557 = 42429577020120

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.

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

706 : 1, 2, 353, 706

745 : 1, 5, 149, 745

149 : 1, 149

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,706,745,149,557, is 1.

Now, the common factors can be found like this.

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

706:2x 353

745:5x 149

149:149

557:557

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 42429577020120/(1x298)

LCM = 42429577020120/298

LCM = 142381130940

Thus, we can understand that the LCM of 972,706,745,149,557 is 142381130940.

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

• LCM of 412, 964, 376, 174, 136
• LCM of 622, 470, 136, 405, 973
• LCM of 196, 435, 720, 825, 605
• LCM of 600, 728, 398, 266, 706
• LCM of 899, 613, 637, 770, 225

1. What is the LCM of 972, 706, 745, 149, 557?

Answer: LCM of 972, 706, 745, 149, 557 is 142381130940.

2. How to calculate the LCM of 972, 706, 745, 149, 557?

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 972, 706, 745, 149, 557.

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}.