Given numbers are 734,592,346,496

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

The LCM of 734,592,346,496 is 1165186832.

Find LCM of 734,592,346,496 with Prime Factorization

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

2 x 2 x 2 x 2 x 367 x 37 x 173 x 31 = 1165186832

Therefore, the lowest common multiple of 734,592,346,496 is 1165186832.

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.

734 x 592 x 346 x 496 = 74571957248

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.

734 : 1, 2, 367, 734

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

346 : 1, 2, 173, 346

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,592,346,496, is 2.

Now, the common factors can be found like this.

734:2x 367

592:2x 2x 2x 2x 37

346:2x 173

496:2x 2x 2x 2x 31

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 74571957248/(2x32)

LCM = 74571957248/64

LCM = 1165186832

Thus, we can understand that the LCM of 734,592,346,496 is 1165186832.

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

• LCM of 461, 981, 331, 462
• LCM of 315, 193, 145, 283
• LCM of 188, 661, 843, 935
• LCM of 316, 286, 783, 343
• LCM of 198, 492, 895, 661

1. What is the LCM of 734, 592, 346, 496?

Answer: LCM of 734, 592, 346, 496 is 1165186832.

2. How to calculate the LCM of 734, 592, 346, 496?

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 734, 592, 346, 496.

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}.