Given numbers are 838,440,144,241,420

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

The LCM of 838,440,144,241,420 is 5598275760.

Find LCM of 838,440,144,241,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 419 x 11 x 6 x 241 x 7 = 5598275760

Therefore, the lowest common multiple of 838,440,144,241,420 is 5598275760.

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.

838 x 440 x 144 x 241 x 420 = 5374344729600

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.

838 : 1, 2, 419, 838

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

241 : 1, 241

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,440,144,241,420, is 1.

Now, the common factors can be found like this.

838:2x 419

440:2x 2x 2x 5x 11

144:2x 2x 2x 2x 3x 3

241:241

420:2x 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 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 5374344729600/(1x960)

LCM = 5374344729600/960

LCM = 5598275760

Thus, we can understand that the LCM of 838,440,144,241,420 is 5598275760.

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

• LCM of 810, 664, 352, 248, 228
• LCM of 142, 801, 831, 171, 646
• LCM of 545, 630, 763, 261, 368
• LCM of 415, 729, 441, 552, 323
• LCM of 141, 430, 116, 538, 889

1. What is the LCM of 838, 440, 144, 241, 420?

Answer: LCM of 838, 440, 144, 241, 420 is 5598275760.

2. How to calculate the LCM of 838, 440, 144, 241, 420?

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 838, 440, 144, 241, 420.

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}.