Given numbers are 921,690,118,364,542

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

The LCM of 921,690,118,364,542 is 616424876340.

Find LCM of 921,690,118,364,542 with Prime Factorization

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

2 x 3 x 307 x 115 x 59 x 182 x 271 = 616424876340

Therefore, the lowest common multiple of 921,690,118,364,542 is 616424876340.

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.

921 x 690 x 118 x 364 x 542 = 14794197032160

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.

921 : 1, 3, 307, 921

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

118 : 1, 2, 59, 118

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,690,118,364,542, is 1.

Now, the common factors can be found like this.

921:3x 307

690:2x 3x 5x 23

118:2x 59

364:2x 2x 7x 13

542:2x 271

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 3 = 24

Therefore, the value for common factors is 24.

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 = 14794197032160/(1x24)

LCM = 14794197032160/24

LCM = 616424876340

Thus, we can understand that the LCM of 921,690,118,364,542 is 616424876340.

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

• LCM of 273, 812, 597, 525, 206
• LCM of 495, 455, 154, 400, 898
• LCM of 467, 224, 623, 494, 405
• LCM of 275, 945, 317, 698, 999
• LCM of 469, 879, 520, 897, 844

1. What is the LCM of 921, 690, 118, 364, 542?

Answer: LCM of 921, 690, 118, 364, 542 is 616424876340.

2. How to calculate the LCM of 921, 690, 118, 364, 542?

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 921, 690, 118, 364, 542.

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}.