Given numbers are 980,745,750,320,102

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

The LCM of 980,745,750,320,102 is 2978808000.

Find LCM of 980,745,750,320,102 with Prime Factorization

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

2 x 2 x 3 x 5 x 49 x 149 x 25 x 16 x 17 = 2978808000

Therefore, the lowest common multiple of 980,745,750,320,102 is 2978808000.

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.

980 x 745 x 750 x 320 x 102 = 17872848000000

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.

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

745 : 1, 5, 149, 745

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,745,750,320,102, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

745:5x 149

750:2x 3x 5x 5x 5

320:2x 2x 2x 2x 2x 2x 5

102:2x 3x 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 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 17872848000000/(1x6000)

LCM = 17872848000000/6000

LCM = 2978808000

Thus, we can understand that the LCM of 980,745,750,320,102 is 2978808000.

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

• LCM of 240, 544, 253, 760, 510
• LCM of 704, 304, 946, 800, 221
• LCM of 439, 445, 249, 314, 151
• LCM of 700, 368, 968, 996, 803
• LCM of 520, 287, 298, 191, 536

1. What is the LCM of 980, 745, 750, 320, 102?

Answer: LCM of 980, 745, 750, 320, 102 is 2978808000.

2. How to calculate the LCM of 980, 745, 750, 320, 102?

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 980, 745, 750, 320, 102.

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}.