Given numbers are 276,248,950,120,689

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

The LCM of 276,248,950,120,689 is 5600329800.

Find LCM of 276,248,950,120,689 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 31 x 95 x 1 x 689 = 5600329800

Therefore, the lowest common multiple of 276,248,950,120,689 is 5600329800.

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.

276 x 248 x 950 x 120 x 689 = 5376316608000

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,248,950,120,689, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

248:2x 2x 2x 31

950:2x 5x 5x 19

120:2x 2x 2x 3x 5

689:13x 53

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 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 5376316608000/(1x960)

LCM = 5376316608000/960

LCM = 5600329800

Thus, we can understand that the LCM of 276,248,950,120,689 is 5600329800.

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

• LCM of 783, 974, 499, 555, 845
• LCM of 798, 540, 420, 522, 498
• LCM of 427, 990, 146, 490, 707
• LCM of 271, 776, 266, 917, 859
• LCM of 323, 591, 872, 897, 451

1. What is the LCM of 276, 248, 950, 120, 689?

Answer: LCM of 276, 248, 950, 120, 689 is 5600329800.

2. How to calculate the LCM of 276, 248, 950, 120, 689?

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 276, 248, 950, 120, 689.

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}.