Given numbers are 752,190,167,762,378

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

The LCM of 752,190,167,762,378 is 286367311440.

Find LCM of 752,190,167,762,378 with Prime Factorization

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

2 x 3 x 376 x 95 x 167 x 127 x 63 = 286367311440

Therefore, the lowest common multiple of 752,190,167,762,378 is 286367311440.

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.

752 x 190 x 167 x 762 x 378 = 6872815474560

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

190 : 1, 2, 5, 10, 19, 38, 95, 190

167 : 1, 167

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,190,167,762,378, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

190:2x 5x 19

167:167

762:2x 3x 127

378:2x 3x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 6872815474560/(1x24)

LCM = 6872815474560/24

LCM = 286367311440

Thus, we can understand that the LCM of 752,190,167,762,378 is 286367311440.

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

• LCM of 756, 670, 472, 840, 246
• LCM of 736, 305, 648, 620, 303
• LCM of 367, 562, 262, 877, 452
• LCM of 281, 951, 442, 275, 880
• LCM of 143, 173, 550, 858, 125

1. What is the LCM of 752, 190, 167, 762, 378?

Answer: LCM of 752, 190, 167, 762, 378 is 286367311440.

2. How to calculate the LCM of 752, 190, 167, 762, 378?

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 752, 190, 167, 762, 378.

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}.