Given numbers are 248,370,678,840,975

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

The LCM of 248,370,678,840,975 is 7076760600.

Find LCM of 248,370,678,840,975 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 31 x 37 x 113 x 7 x 65 = 7076760600

Therefore, the lowest common multiple of 248,370,678,840,975 is 7076760600.

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.

248 x 370 x 678 x 840 x 975 = 50952676320000

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.

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,370,678,840,975, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

370:2x 5x 37

678:2x 3x 113

840:2x 2x 2x 3x 5x 7

975:3x 5x 5x 13

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 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 50952676320000/(1x7200)

LCM = 50952676320000/7200

LCM = 7076760600

Thus, we can understand that the LCM of 248,370,678,840,975 is 7076760600.

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

• LCM of 195, 439, 351, 535, 555
• LCM of 849, 191, 640, 598, 523
• LCM of 502, 581, 429, 494, 765
• LCM of 830, 780, 559, 786, 985
• LCM of 478, 915, 546, 101, 644

1. What is the LCM of 248, 370, 678, 840, 975?

Answer: LCM of 248, 370, 678, 840, 975 is 7076760600.

2. How to calculate the LCM of 248, 370, 678, 840, 975?

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 248, 370, 678, 840, 975.

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}.