Given numbers are 960,129,744,274

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

The LCM of 960,129,744,274 is 175316160.

Find LCM of 960,129,744,274 with Prime Factorization

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

2 x 2 x 2 x 3 x 40 x 43 x 31 x 137 = 175316160

Therefore, the lowest common multiple of 960,129,744,274 is 175316160.

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 129 x 744 x 274 = 25245527040

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

129 : 1, 3, 43, 129

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,129,744,274, is 1.

Now, the common factors can be found like this.

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

129:3x 43

744:2x 2x 2x 3x 31

274:2x 137

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 25245527040/(1x144)

LCM = 25245527040/144

LCM = 175316160

Thus, we can understand that the LCM of 960,129,744,274 is 175316160.

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

• LCM of 670, 205, 113, 519
• LCM of 552, 567, 453, 838
• LCM of 838, 155, 170, 238
• LCM of 461, 231, 468, 684
• LCM of 268, 598, 269, 928

1. What is the LCM of 960, 129, 744, 274?

Answer: LCM of 960, 129, 744, 274 is 175316160.

2. How to calculate the LCM of 960, 129, 744, 274?

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, 129, 744, 274.

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}.