Given numbers are 978,930,374,678,262

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

The LCM of 978,930,374,678,262 is 419625525990.

Find LCM of 978,930,374,678,262 with Prime Factorization

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

2 x 3 x 163 x 155 x 187 x 113 x 131 = 419625525990

Therefore, the lowest common multiple of 978,930,374,678,262 is 419625525990.

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.

978 x 930 x 374 x 678 x 262 = 60426075742560

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.

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

374 : 1, 2, 11, 17, 22, 34, 187, 374

678 : 1, 2, 3, 6, 113, 226, 339, 678

262 : 1, 2, 131, 262

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,930,374,678,262, is 2.

Now, the common factors can be found like this.

978:2x 3x 163

930:2x 3x 5x 31

374:2x 11x 17

678:2x 3x 113

262:2x 131

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 60426075742560/(2x72)

LCM = 60426075742560/144

LCM = 419625525990

Thus, we can understand that the LCM of 978,930,374,678,262 is 419625525990.

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

• LCM of 604, 459, 189, 601, 491
• LCM of 462, 909, 731, 943, 245
• LCM of 950, 769, 854, 190, 140
• LCM of 369, 548, 803, 556, 600
• LCM of 620, 596, 362, 514, 587

1. What is the LCM of 978, 930, 374, 678, 262?

Answer: LCM of 978, 930, 374, 678, 262 is 419625525990.

2. How to calculate the LCM of 978, 930, 374, 678, 262?

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 978, 930, 374, 678, 262.

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}.