Given numbers are 645,153,615,223,924

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

The LCM of 645,153,615,223,924 is 92633767380.

Find LCM of 645,153,615,223,924 with Prime Factorization

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

3 x 5 x 43 x 51 x 41 x 223 x 308 = 92633767380

Therefore, the lowest common multiple of 645,153,615,223,924 is 92633767380.

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.

645 x 153 x 615 x 223 x 924 = 12505558596300

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

153 : 1, 3, 9, 17, 51, 153

615 : 1, 3, 5, 15, 41, 123, 205, 615

223 : 1, 223

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,153,615,223,924, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

153:3x 3x 17

615:3x 5x 41

223:223

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 12505558596300/(1x135)

LCM = 12505558596300/135

LCM = 92633767380

Thus, we can understand that the LCM of 645,153,615,223,924 is 92633767380.

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

• LCM of 937, 394, 181, 605, 289
• LCM of 625, 680, 464, 956, 767
• LCM of 844, 917, 112, 270, 271
• LCM of 899, 751, 581, 224, 803
• LCM of 633, 291, 217, 712, 566

1. What is the LCM of 645, 153, 615, 223, 924?

Answer: LCM of 645, 153, 615, 223, 924 is 92633767380.

2. How to calculate the LCM of 645, 153, 615, 223, 924?

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 645, 153, 615, 223, 924.

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}.