Given numbers are 960,101,343,968

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

The LCM of 960,101,343,968 is 4024130880.

Find LCM of 960,101,343,968 with Prime Factorization

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

2 x 2 x 2 x 120 x 101 x 343 x 121 = 4024130880

Therefore, the lowest common multiple of 960,101,343,968 is 4024130880.

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.

960 x 101 x 343 x 968 = 32193047040

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

101 : 1, 101

343 : 1, 7, 49, 343

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,101,343,968, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

101:101

343:7x 7x 7

968:2x 2x 2x 11x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 32193047040/(1x8)

LCM = 32193047040/8

LCM = 4024130880

Thus, we can understand that the LCM of 960,101,343,968 is 4024130880.

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

• LCM of 435, 928, 132, 665
• LCM of 647, 538, 795, 582
• LCM of 712, 990, 422, 429
• LCM of 521, 214, 950, 943
• LCM of 111, 377, 710, 563

1. What is the LCM of 960, 101, 343, 968?

Answer: LCM of 960, 101, 343, 968 is 4024130880.

2. How to calculate the LCM of 960, 101, 343, 968?

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 960, 101, 343, 968.

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}.