Given numbers are 978,354,274,728,269

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

The LCM of 978,354,274,728,269 is 774043017384.

Find LCM of 978,354,274,728,269 with Prime Factorization

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

2 x 3 x 163 x 59 x 137 x 364 x 269 = 774043017384

Therefore, the lowest common multiple of 978,354,274,728,269 is 774043017384.

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 354 x 274 x 728 x 269 = 18577032417216

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

274 : 1, 2, 137, 274

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,354,274,728,269, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

354:2x 3x 59

274:2x 137

728:2x 2x 2x 7x 13

269:269

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 3 = 24

Therefore, the value for common factors is 24.

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 = 18577032417216/(1x24)

LCM = 18577032417216/24

LCM = 774043017384

Thus, we can understand that the LCM of 978,354,274,728,269 is 774043017384.

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

• LCM of 558, 634, 326, 127, 775
• LCM of 231, 291, 924, 641, 208
• LCM of 861, 415, 499, 862, 801
• LCM of 254, 340, 763, 500, 134
• LCM of 172, 681, 346, 668, 157

1. What is the LCM of 978, 354, 274, 728, 269?

Answer: LCM of 978, 354, 274, 728, 269 is 774043017384.

2. How to calculate the LCM of 978, 354, 274, 728, 269?

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, 354, 274, 728, 269.

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}.