Given numbers are 894,816,393,429,746

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

The LCM of 894,816,393,429,746 is 849557135856.

Find LCM of 894,816,393,429,746 with Prime Factorization

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

2 x 3 x 149 x 136 x 131 x 143 x 373 = 849557135856

Therefore, the lowest common multiple of 894,816,393,429,746 is 849557135856.

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.

894 x 816 x 393 x 429 x 746 = 91752170672448

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

393 : 1, 3, 131, 393

429 : 1, 3, 11, 13, 33, 39, 143, 429

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,816,393,429,746, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

816:2x 2x 2x 2x 3x 17

393:3x 131

429:3x 11x 13

746:2x 373

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 91752170672448/(1x108)

LCM = 91752170672448/108

LCM = 849557135856

Thus, we can understand that the LCM of 894,816,393,429,746 is 849557135856.

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

• LCM of 132, 215, 833, 524, 777
• LCM of 265, 561, 444, 624, 669
• LCM of 871, 972, 877, 377, 705
• LCM of 280, 783, 833, 577, 118
• LCM of 630, 284, 111, 954, 157

1. What is the LCM of 894, 816, 393, 429, 746?

Answer: LCM of 894, 816, 393, 429, 746 is 849557135856.

2. How to calculate the LCM of 894, 816, 393, 429, 746?

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 894, 816, 393, 429, 746.

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}.