Given numbers are 148,700,376,133,714

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

The LCM of 148,700,376,133,714 is 2359127400.

Find LCM of 148,700,376,133,714 with Prime Factorization

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

2 x 2 x 7 x 37 x 25 x 94 x 19 x 51 = 2359127400

Therefore, the lowest common multiple of 148,700,376,133,714 is 2359127400.

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.

148 x 700 x 376 x 133 x 714 = 3699111763200

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.

148 : 1, 2, 4, 37, 74, 148

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

376 : 1, 2, 4, 8, 47, 94, 188, 376

133 : 1, 7, 19, 133

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,700,376,133,714, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

700:2x 2x 5x 5x 7

376:2x 2x 2x 47

133:7x 19

714:2x 3x 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 2x 2x 2x 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 3699111763200/(1x1568)

LCM = 3699111763200/1568

LCM = 2359127400

Thus, we can understand that the LCM of 148,700,376,133,714 is 2359127400.

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

• LCM of 688, 473, 139, 829, 265
• LCM of 985, 947, 559, 290, 180
• LCM of 830, 209, 332, 819, 666
• LCM of 734, 897, 100, 428, 268
• LCM of 300, 337, 564, 561, 168

1. What is the LCM of 148, 700, 376, 133, 714?

Answer: LCM of 148, 700, 376, 133, 714 is 2359127400.

2. How to calculate the LCM of 148, 700, 376, 133, 714?

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 148, 700, 376, 133, 714.

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}.