Given numbers are 978,234,125,702,538

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

The LCM of 978,234,125,702,538 is 3847574250.

Find LCM of 978,234,125,702,538 with Prime Factorization

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

2 x 3 x 3 x 13 x 163 x 1 x 125 x 3 x 269 = 3847574250

Therefore, the lowest common multiple of 978,234,125,702,538 is 3847574250.

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 234 x 125 x 702 x 538 = 10803988494000

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

125 : 1, 5, 25, 125

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,234,125,702,538, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

234:2x 3x 3x 13

125:5x 5x 5

702:2x 3x 3x 3x 13

538:2x 269

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 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 10803988494000/(1x2808)

LCM = 10803988494000/2808

LCM = 3847574250

Thus, we can understand that the LCM of 978,234,125,702,538 is 3847574250.

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

• LCM of 842, 159, 822, 243, 418
• LCM of 683, 631, 264, 441, 451
• LCM of 318, 626, 830, 818, 747
• LCM of 932, 824, 870, 372, 697
• LCM of 392, 562, 629, 527, 776

1. What is the LCM of 978, 234, 125, 702, 538?

Answer: LCM of 978, 234, 125, 702, 538 is 3847574250.

2. How to calculate the LCM of 978, 234, 125, 702, 538?

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, 234, 125, 702, 538.

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}.