Given numbers are 542,168,291,347,840

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

The LCM of 542,168,291,347,840 is 7662134760.

Find LCM of 542,168,291,347,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 271 x 1 x 97 x 347 x 5 = 7662134760

Therefore, the lowest common multiple of 542,168,291,347,840 is 7662134760.

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.

542 x 168 x 291 x 347 x 840 = 7723431838080

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.

542 : 1, 2, 271, 542

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

291 : 1, 3, 97, 291

347 : 1, 347

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,168,291,347,840, is 1.

Now, the common factors can be found like this.

542:2x 271

168:2x 2x 2x 3x 7

291:3x 97

347:347

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 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 7723431838080/(1x1008)

LCM = 7723431838080/1008

LCM = 7662134760

Thus, we can understand that the LCM of 542,168,291,347,840 is 7662134760.

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

• LCM of 538, 947, 785, 809, 210
• LCM of 293, 257, 511, 427, 478
• LCM of 408, 629, 881, 848, 880
• LCM of 452, 253, 565, 660, 473
• LCM of 604, 255, 902, 235, 235

1. What is the LCM of 542, 168, 291, 347, 840?

Answer: LCM of 542, 168, 291, 347, 840 is 7662134760.

2. How to calculate the LCM of 542, 168, 291, 347, 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 542, 168, 291, 347, 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}.