Given numbers are 978,335,134,418

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

The LCM of 978,335,134,418 is 68474670.

Find LCM of 978,335,134,418 with Prime Factorization

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

2 x 67 x 489 x 5 x 1 x 209 = 68474670

Therefore, the lowest common multiple of 978,335,134,418 is 68474670.

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.

978 x 335 x 134 x 418 = 18351211560

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

335 : 1, 5, 67, 335

134 : 1, 2, 67, 134

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,335,134,418, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

335:5x 67

134:2x 67

418:2x 11x 19

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 67 = 268

Therefore, the value for common factors is 268.

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 = 18351211560/(1x268)

LCM = 18351211560/268

LCM = 68474670

Thus, we can understand that the LCM of 978,335,134,418 is 68474670.

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

• LCM of 314, 624, 616, 422
• LCM of 909, 931, 737, 500
• LCM of 490, 231, 160, 100
• LCM of 394, 407, 260, 455
• LCM of 620, 740, 718, 161

1. What is the LCM of 978, 335, 134, 418?

Answer: LCM of 978, 335, 134, 418 is 68474670.

2. How to calculate the LCM of 978, 335, 134, 418?

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 978, 335, 134, 418.

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}.