Given numbers are 894,707,240,970,120

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

The LCM of 894,707,240,970,120 is 2452385040.

Find LCM of 894,707,240,970,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 149 x 707 x 1 x 97 x 2 = 2452385040

Therefore, the lowest common multiple of 894,707,240,970,120 is 2452385040.

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.

894 x 707 x 240 x 970 x 120 = 17657172288000

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

707 : 1, 7, 101, 707

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,707,240,970,120, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

707:7x 101

240:2x 2x 2x 2x 3x 5

970:2x 5x 97

120:2x 2x 2x 3x 5

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 = 17657172288000/(1x7200)

LCM = 17657172288000/7200

LCM = 2452385040

Thus, we can understand that the LCM of 894,707,240,970,120 is 2452385040.

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

• LCM of 226, 309, 271, 283, 877
• LCM of 272, 869, 166, 483, 178
• LCM of 800, 575, 633, 933, 572
• LCM of 905, 977, 298, 233, 216
• LCM of 624, 991, 138, 918, 603

1. What is the LCM of 894, 707, 240, 970, 120?

Answer: LCM of 894, 707, 240, 970, 120 is 2452385040.

2. How to calculate the LCM of 894, 707, 240, 970, 120?

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 894, 707, 240, 970, 120.

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}.