Given numbers are 426,292,508,326,978

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

The LCM of 426,292,508,326,978 is 1287519396.

Find LCM of 426,292,508,326,978 with Prime Factorization

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

2 x 2 x 3 x 163 x 71 x 73 x 127 x 1 x 1 = 1287519396

Therefore, the lowest common multiple of 426,292,508,326,978 is 1287519396.

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.

426 x 292 x 508 x 326 x 978 = 20147103508608

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

292 : 1, 2, 4, 73, 146, 292

508 : 1, 2, 4, 127, 254, 508

326 : 1, 2, 163, 326

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,292,508,326,978, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

292:2x 2x 73

508:2x 2x 127

326:2x 163

978:2x 3x 163

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 163 = 7824

Therefore, the value for common factors is 7824.

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 = 20147103508608/(2x7824)

LCM = 20147103508608/15648

LCM = 1287519396

Thus, we can understand that the LCM of 426,292,508,326,978 is 1287519396.

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

• LCM of 580, 247, 796, 106, 281
• LCM of 260, 470, 295, 151, 853
• LCM of 771, 887, 485, 150, 661
• LCM of 363, 693, 251, 815, 286
• LCM of 983, 424, 259, 973, 904

1. What is the LCM of 426, 292, 508, 326, 978?

Answer: LCM of 426, 292, 508, 326, 978 is 1287519396.

2. How to calculate the LCM of 426, 292, 508, 326, 978?

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 426, 292, 508, 326, 978.

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}.