Given numbers are 972,293,312,744,776

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

The LCM of 972,293,312,744,776 is 22265920872.

Find LCM of 972,293,312,744,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 81 x 293 x 13 x 31 x 97 = 22265920872

Therefore, the lowest common multiple of 972,293,312,744,776 is 22265920872.

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 293 x 312 x 744 x 776 = 51300681689088

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

293 : 1, 293

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,293,312,744,776, is 1.

Now, the common factors can be found like this.

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

293:293

312:2x 2x 2x 3x 13

744:2x 2x 2x 3x 31

776:2x 2x 2x 97

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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 51300681689088/(1x2304)

LCM = 51300681689088/2304

LCM = 22265920872

Thus, we can understand that the LCM of 972,293,312,744,776 is 22265920872.

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

• LCM of 844, 854, 206, 911, 390
• LCM of 499, 885, 305, 626, 386
• LCM of 314, 888, 699, 347, 982
• LCM of 674, 997, 797, 524, 815
• LCM of 349, 715, 620, 522, 211

1. What is the LCM of 972, 293, 312, 744, 776?

Answer: LCM of 972, 293, 312, 744, 776 is 22265920872.

2. How to calculate the LCM of 972, 293, 312, 744, 776?

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, 293, 312, 744, 776.

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}.