Given numbers are 278,214,973,398

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

The LCM of 278,214,973,398 is 41436178.

Find LCM of 278,214,973,398 with Prime Factorization

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

2 x 139 x 1 x 107 x 7 x 199 = 41436178

Therefore, the lowest common multiple of 278,214,973,398 is 41436178.

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.

278 x 214 x 973 x 398 = 23038514968

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.

278 : 1, 2, 139, 278

214 : 1, 2, 107, 214

973 : 1, 7, 139, 973

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,214,973,398, is 1.

Now, the common factors can be found like this.

278:2x 139

214:2x 107

973:7x 139

398:2x 199

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 139 = 556

Therefore, the value for common factors is 556.

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 = 23038514968/(1x556)

LCM = 23038514968/556

LCM = 41436178

Thus, we can understand that the LCM of 278,214,973,398 is 41436178.

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

• LCM of 509, 554, 871, 848
• LCM of 330, 309, 717, 586
• LCM of 250, 307, 666, 937
• LCM of 725, 131, 651, 987
• LCM of 645, 550, 998, 314

1. What is the LCM of 278, 214, 973, 398?

Answer: LCM of 278, 214, 973, 398 is 41436178.

2. How to calculate the LCM of 278, 214, 973, 398?

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 278, 214, 973, 398.

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}.