Given numbers are 970,784,303,202,614

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

The LCM of 970,784,303,202,614 is 35370305040.

Find LCM of 970,784,303,202,614 with Prime Factorization

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

2 x 101 x 485 x 392 x 3 x 1 x 307 = 35370305040

Therefore, the lowest common multiple of 970,784,303,202,614 is 35370305040.

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.

970 x 784 x 303 x 202 x 614 = 28579206472320

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.

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

303 : 1, 3, 101, 303

202 : 1, 2, 101, 202

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,784,303,202,614, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

784:2x 2x 2x 2x 7x 7

303:3x 101

202:2x 101

614:2x 307

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 101 = 808

Therefore, the value for common factors is 808.

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 = 28579206472320/(1x808)

LCM = 28579206472320/808

LCM = 35370305040

Thus, we can understand that the LCM of 970,784,303,202,614 is 35370305040.

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

• LCM of 639, 598, 394, 553, 354
• LCM of 816, 573, 565, 339, 692
• LCM of 977, 425, 157, 172, 803
• LCM of 946, 217, 334, 669, 741
• LCM of 845, 633, 358, 211, 315

1. What is the LCM of 970, 784, 303, 202, 614?

Answer: LCM of 970, 784, 303, 202, 614 is 35370305040.

2. How to calculate the LCM of 970, 784, 303, 202, 614?

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 970, 784, 303, 202, 614.

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}.