Given numbers are 238,378,840,827,748

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

The LCM of 238,378,840,827,748 is 1169146440.

Find LCM of 238,378,840,827,748 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 1 x 9 x 10 x 827 x 11 = 1169146440

Therefore, the lowest common multiple of 238,378,840,827,748 is 1169146440.

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.

238 x 378 x 840 x 827 x 748 = 46747151256960

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

827 : 1, 827

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,378,840,827,748, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

378:2x 3x 3x 3x 7

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

827:827

748:2x 2x 11x 17

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 7x 7x 17 = 39984

Therefore, the value for common factors is 39984.

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 = 46747151256960/(1x39984)

LCM = 46747151256960/39984

LCM = 1169146440

Thus, we can understand that the LCM of 238,378,840,827,748 is 1169146440.

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

• LCM of 103, 777, 228, 130, 837
• LCM of 213, 866, 132, 389, 776
• LCM of 533, 665, 557, 692, 785
• LCM of 309, 947, 550, 969, 324
• LCM of 836, 105, 141, 890, 292

1. What is the LCM of 238, 378, 840, 827, 748?

Answer: LCM of 238, 378, 840, 827, 748 is 1169146440.

2. How to calculate the LCM of 238, 378, 840, 827, 748?

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 238, 378, 840, 827, 748.

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}.