Given numbers are 746,269,296,962

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

The LCM of 746,269,296,962 is 386096776.

Find LCM of 746,269,296,962 with Prime Factorization

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

2 x 37 x 373 x 269 x 4 x 13 = 386096776

Therefore, the lowest common multiple of 746,269,296,962 is 386096776.

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.

746 x 269 x 296 x 962 = 57142322848

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.

746 : 1, 2, 373, 746

269 : 1, 269

296 : 1, 2, 4, 8, 37, 74, 148, 296

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,269,296,962, is 1.

Now, the common factors can be found like this.

746:2x 373

269:269

296:2x 2x 2x 37

962:2x 13x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 57142322848/(1x148)

LCM = 57142322848/148

LCM = 386096776

Thus, we can understand that the LCM of 746,269,296,962 is 386096776.

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

• LCM of 342, 564, 721, 738
• LCM of 557, 972, 754, 224
• LCM of 976, 651, 452, 649
• LCM of 803, 426, 585, 283
• LCM of 255, 949, 862, 287

1. What is the LCM of 746, 269, 296, 962?

Answer: LCM of 746, 269, 296, 962 is 386096776.

2. How to calculate the LCM of 746, 269, 296, 962?

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 746, 269, 296, 962.

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}.