Given numbers are 728,654,118,967

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

The LCM of 728,654,118,967 is 13581808968.

Find LCM of 728,654,118,967 with Prime Factorization

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

2 x 364 x 327 x 59 x 967 = 13581808968

Therefore, the lowest common multiple of 728,654,118,967 is 13581808968.

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.

728 x 654 x 118 x 967 = 54327235872

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

654 : 1, 2, 3, 6, 109, 218, 327, 654

118 : 1, 2, 59, 118

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,654,118,967, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

654:2x 3x 109

118:2x 59

967:967

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 54327235872/(1x4)

LCM = 54327235872/4

LCM = 13581808968

Thus, we can understand that the LCM of 728,654,118,967 is 13581808968.

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

• LCM of 616, 820, 643, 216
• LCM of 850, 336, 419, 109
• LCM of 222, 581, 692, 260
• LCM of 434, 744, 267, 780
• LCM of 911, 696, 685, 712

1. What is the LCM of 728, 654, 118, 967?

Answer: LCM of 728, 654, 118, 967 is 13581808968.

2. How to calculate the LCM of 728, 654, 118, 967?

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 728, 654, 118, 967.

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}.