Given numbers are 980,978,910,161,595

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

The LCM of 980,978,910,161,595 is 2435875260.

Find LCM of 980,978,910,161,595 with Prime Factorization

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

2 x 5 x 7 x 14 x 489 x 13 x 23 x 17 = 2435875260

Therefore, the lowest common multiple of 980,978,910,161,595 is 2435875260.

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 978 x 910 x 161 x 595 = 83550521418000

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

161 : 1, 7, 23, 161

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,978,910,161,595, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

978:2x 3x 163

910:2x 5x 7x 13

161:7x 23

595:5x 7x 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 5x 5x 7x 7x 7 = 34300

Therefore, the value for common factors is 34300.

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 = 83550521418000/(1x34300)

LCM = 83550521418000/34300

LCM = 2435875260

Thus, we can understand that the LCM of 980,978,910,161,595 is 2435875260.

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

• LCM of 947, 391, 279, 445, 609
• LCM of 939, 150, 152, 145, 573
• LCM of 445, 169, 197, 980, 546
• LCM of 991, 688, 174, 721, 368
• LCM of 815, 719, 167, 507, 550

1. What is the LCM of 980, 978, 910, 161, 595?

Answer: LCM of 980, 978, 910, 161, 595 is 2435875260.

2. How to calculate the LCM of 980, 978, 910, 161, 595?

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, 978, 910, 161, 595.

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}.