Given numbers are 748,868,343,334,168

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

The LCM of 748,868,343,334,168 is 7969390968.

Find LCM of 748,868,343,334,168 with Prime Factorization

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

2 x 2 x 7 x 187 x 31 x 49 x 167 x 6 = 7969390968

Therefore, the lowest common multiple of 748,868,343,334,168 is 7969390968.

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.

748 x 868 x 343 x 334 x 168 = 12496005037824

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

343 : 1, 7, 49, 343

334 : 1, 2, 167, 334

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,868,343,334,168, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

868:2x 2x 7x 31

343:7x 7x 7

334:2x 167

168:2x 2x 2x 3x 7

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 2x 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 12496005037824/(1x1568)

LCM = 12496005037824/1568

LCM = 7969390968

Thus, we can understand that the LCM of 748,868,343,334,168 is 7969390968.

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

• LCM of 254, 719, 901, 650, 718
• LCM of 768, 476, 587, 544, 998
• LCM of 758, 999, 915, 753, 182
• LCM of 693, 564, 531, 184, 899
• LCM of 631, 904, 228, 696, 990

1. What is the LCM of 748, 868, 343, 334, 168?

Answer: LCM of 748, 868, 343, 334, 168 is 7969390968.

2. How to calculate the LCM of 748, 868, 343, 334, 168?

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 748, 868, 343, 334, 168.

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}.