Given numbers are 757,708,432,170,428

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

The LCM of 757,708,432,170,428 is 175482713520.

Find LCM of 757,708,432,170,428 with Prime Factorization

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

2 x 2 x 3 x 757 x 59 x 36 x 85 x 107 = 175482713520

Therefore, the lowest common multiple of 757,708,432,170,428 is 175482713520.

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.

757 x 708 x 432 x 170 x 428 = 16846340497920

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.

757 : 1, 757

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

170 : 1, 2, 5, 10, 17, 34, 85, 170

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,708,432,170,428, is 1.

Now, the common factors can be found like this.

757:757

708:2x 2x 3x 59

432:2x 2x 2x 2x 3x 3x 3

170:2x 5x 17

428:2x 2x 107

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 3 = 96

Therefore, the value for common factors is 96.

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 = 16846340497920/(1x96)

LCM = 16846340497920/96

LCM = 175482713520

Thus, we can understand that the LCM of 757,708,432,170,428 is 175482713520.

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

• LCM of 340, 800, 805, 799, 717
• LCM of 752, 839, 914, 472, 792
• LCM of 466, 634, 186, 428, 663
• LCM of 725, 339, 371, 717, 666
• LCM of 978, 398, 461, 331, 509

1. What is the LCM of 757, 708, 432, 170, 428?

Answer: LCM of 757, 708, 432, 170, 428 is 175482713520.

2. How to calculate the LCM of 757, 708, 432, 170, 428?

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 757, 708, 432, 170, 428.

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}.