Given numbers are 676,475,706,343

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

The LCM of 676,475,706,343 is 38878466900.

Find LCM of 676,475,706,343 with Prime Factorization

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

2 x 338 x 475 x 353 x 343 = 38878466900

Therefore, the lowest common multiple of 676,475,706,343 is 38878466900.

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.

676 x 475 x 706 x 343 = 77756933800

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

475 : 1, 5, 19, 25, 95, 475

706 : 1, 2, 353, 706

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,475,706,343, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

475:5x 5x 19

706:2x 353

343:7x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 77756933800/(1x2)

LCM = 77756933800/2

LCM = 38878466900

Thus, we can understand that the LCM of 676,475,706,343 is 38878466900.

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

• LCM of 206, 676, 552, 298
• LCM of 833, 505, 293, 143
• LCM of 854, 945, 652, 500
• LCM of 802, 860, 693, 547
• LCM of 861, 969, 965, 997

1. What is the LCM of 676, 475, 706, 343?

Answer: LCM of 676, 475, 706, 343 is 38878466900.

2. How to calculate the LCM of 676, 475, 706, 343?

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 676, 475, 706, 343.

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}.