Given numbers are 676,497,378,126,340

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

The LCM of 676,497,378,126,340 is 771055740.

Find LCM of 676,497,378,126,340 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 169 x 71 x 1 x 3 x 85 = 771055740

Therefore, the lowest common multiple of 676,497,378,126,340 is 771055740.

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 497 x 378 x 126 x 340 = 5440569301440

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

497 : 1, 7, 71, 497

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,497,378,126,340, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

497:7x 71

378:2x 3x 3x 3x 7

126:2x 3x 3x 7

340:2x 2x 5x 17

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 3x 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 5440569301440/(1x7056)

LCM = 5440569301440/7056

LCM = 771055740

Thus, we can understand that the LCM of 676,497,378,126,340 is 771055740.

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

• LCM of 671, 875, 904, 641, 871
• LCM of 428, 540, 807, 544, 655
• LCM of 399, 494, 373, 916, 659
• LCM of 844, 436, 985, 920, 454
• LCM of 698, 278, 178, 595, 941

1. What is the LCM of 676, 497, 378, 126, 340?

Answer: LCM of 676, 497, 378, 126, 340 is 771055740.

2. How to calculate the LCM of 676, 497, 378, 126, 340?

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, 497, 378, 126, 340.

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}.