Given numbers are 528,984,734,748

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

The LCM of 528,984,734,748 is 135061872.

Find LCM of 528,984,734,748 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 2 x 41 x 367 x 17 = 135061872

Therefore, the lowest common multiple of 528,984,734,748 is 135061872.

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.

528 x 984 x 734 x 748 = 285250673664

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

734 : 1, 2, 367, 734

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,984,734,748, is 2.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

984:2x 2x 2x 3x 41

734:2x 367

748:2x 2x 11x 17

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 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 285250673664/(2x1056)

LCM = 285250673664/2112

LCM = 135061872

Thus, we can understand that the LCM of 528,984,734,748 is 135061872.

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

• LCM of 719, 598, 978, 566
• LCM of 890, 186, 517, 401
• LCM of 639, 349, 554, 509
• LCM of 966, 274, 825, 747
• LCM of 606, 432, 879, 126

1. What is the LCM of 528, 984, 734, 748?

Answer: LCM of 528, 984, 734, 748 is 135061872.

2. How to calculate the LCM of 528, 984, 734, 748?

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 528, 984, 734, 748.

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}.