Given numbers are 741,978,765,692,274

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

The LCM of 741,978,765,692,274 is 2919931440660.

Find LCM of 741,978,765,692,274 with Prime Factorization

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

2 x 3 x 247 x 163 x 255 x 346 x 137 = 2919931440660

Therefore, the lowest common multiple of 741,978,765,692,274 is 2919931440660.

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.

741 x 978 x 765 x 692 x 274 = 105117531863760

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

692 : 1, 2, 4, 173, 346, 692

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,978,765,692,274, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

978:2x 3x 163

765:3x 3x 5x 17

692:2x 2x 173

274:2x 137

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 105117531863760/(1x36)

LCM = 105117531863760/36

LCM = 2919931440660

Thus, we can understand that the LCM of 741,978,765,692,274 is 2919931440660.

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

• LCM of 165, 147, 626, 330, 477
• LCM of 780, 338, 503, 830, 679
• LCM of 872, 749, 778, 859, 456
• LCM of 805, 828, 770, 879, 817
• LCM of 663, 919, 344, 210, 705

1. What is the LCM of 741, 978, 765, 692, 274?

Answer: LCM of 741, 978, 765, 692, 274 is 2919931440660.

2. How to calculate the LCM of 741, 978, 765, 692, 274?

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 741, 978, 765, 692, 274.

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}.