Given numbers are 702,722,678,644,123

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

The LCM of 702,722,678,644,123 is 378061528572.

Find LCM of 702,722,678,644,123 with Prime Factorization

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

2 x 3 x 117 x 361 x 113 x 322 x 41 = 378061528572

Therefore, the lowest common multiple of 702,722,678,644,123 is 378061528572.

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.

702 x 722 x 678 x 644 x 123 = 27220430057184

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

722 : 1, 2, 19, 38, 361, 722

678 : 1, 2, 3, 6, 113, 226, 339, 678

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,722,678,644,123, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

722:2x 19x 19

678:2x 3x 113

644:2x 2x 7x 23

123:3x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 27220430057184/(1x72)

LCM = 27220430057184/72

LCM = 378061528572

Thus, we can understand that the LCM of 702,722,678,644,123 is 378061528572.

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

• LCM of 754, 453, 884, 970, 432
• LCM of 287, 138, 258, 771, 165
• LCM of 484, 565, 652, 825, 232
• LCM of 889, 781, 681, 285, 622
• LCM of 127, 148, 165, 541, 978

1. What is the LCM of 702, 722, 678, 644, 123?

Answer: LCM of 702, 722, 678, 644, 123 is 378061528572.

2. How to calculate the LCM of 702, 722, 678, 644, 123?

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 702, 722, 678, 644, 123.

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}.