Given numbers are 742,970,934,146,840

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

The LCM of 742,970,934,146,840 is 147219938040.

Find LCM of 742,970,934,146,840 with Prime Factorization

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

2 x 5 x 7 x 53 x 97 x 467 x 73 x 12 = 147219938040

Therefore, the lowest common multiple of 742,970,934,146,840 is 147219938040.

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.

742 x 970 x 934 x 146 x 840 = 82443165302400

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

934 : 1, 2, 467, 934

146 : 1, 2, 73, 146

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,970,934,146,840, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

970:2x 5x 97

934:2x 467

146:2x 73

840:2x 2x 2x 3x 5x 7

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 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 82443165302400/(2x280)

LCM = 82443165302400/560

LCM = 147219938040

Thus, we can understand that the LCM of 742,970,934,146,840 is 147219938040.

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

• LCM of 141, 854, 565, 642, 213
• LCM of 142, 945, 423, 629, 503
• LCM of 132, 139, 395, 619, 990
• LCM of 735, 929, 916, 784, 155
• LCM of 525, 215, 787, 647, 835

1. What is the LCM of 742, 970, 934, 146, 840?

Answer: LCM of 742, 970, 934, 146, 840 is 147219938040.

2. How to calculate the LCM of 742, 970, 934, 146, 840?

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 742, 970, 934, 146, 840.

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}.