Given numbers are 510,248,100,670,644

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

The LCM of 510,248,100,670,644 is 3410849400.

Find LCM of 510,248,100,670,644 with Prime Factorization

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

2 x 2 x 5 x 51 x 62 x 5 x 67 x 161 = 3410849400

Therefore, the lowest common multiple of 510,248,100,670,644 is 3410849400.

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.

510 x 248 x 100 x 670 x 644 = 5457359040000

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

248 : 1, 2, 4, 8, 31, 62, 124, 248

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

670 : 1, 2, 5, 10, 67, 134, 335, 670

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,248,100,670,644, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

248:2x 2x 2x 31

100:2x 2x 5x 5

670:2x 5x 67

644:2x 2x 7x 23

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 5457359040000/(2x800)

LCM = 5457359040000/1600

LCM = 3410849400

Thus, we can understand that the LCM of 510,248,100,670,644 is 3410849400.

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

• LCM of 990, 475, 926, 753, 789
• LCM of 265, 230, 857, 543, 136
• LCM of 296, 524, 633, 944, 829
• LCM of 199, 309, 592, 527, 503
• LCM of 684, 715, 240, 719, 560

1. What is the LCM of 510, 248, 100, 670, 644?

Answer: LCM of 510, 248, 100, 670, 644 is 3410849400.

2. How to calculate the LCM of 510, 248, 100, 670, 644?

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 510, 248, 100, 670, 644.

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}.