Given numbers are 78,35,749

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

The LCM of 78,35,749 is 292110.

Find LCM of 78,35,749 with Prime Factorization

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

7 x 78 x 5 x 107 = 292110

Therefore, the lowest common multiple of 78,35,749 is 292110.

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.

78 x 35 x 749 = 2044770

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

35 : 1, 5, 7, 35

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,35,749, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

35:5x 7

749:7x 107

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

7 = 7

Therefore, the value for common factors is 7.

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 = 2044770/(1x7)

LCM = 2044770/7

LCM = 292110

Thus, we can understand that the LCM of 78,35,749 is 292110.

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

• LCM of 95, 62, 665
• LCM of 53, 84, 133
• LCM of 55, 53, 139
• LCM of 32, 64, 329
• LCM of 16, 86, 760

1. What is the LCM of 78, 35, 749?

Answer: LCM of 78, 35, 749 is 292110.

2. How to calculate the LCM of 78, 35, 749?

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 78, 35, 749.

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}.