Given numbers are 978,326,149

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

The LCM of 978,326,149 is 145722.

Find LCM of 978,326,149 with Prime Factorization

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

2 x 163 x 3 x 1 x 149 = 145722

Therefore, the lowest common multiple of 978,326,149 is 145722.

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.

978 x 326 x 149 = 47505372

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

326 : 1, 2, 163, 326

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,326,149, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

326:2x 163

149:149

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

2x 163 = 326

Therefore, the value for common factors is 326.

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 = 47505372/(1x326)

LCM = 47505372/326

LCM = 145722

Thus, we can understand that the LCM of 978,326,149 is 145722.

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

• LCM of 841, 724, 778
• LCM of 739, 451, 233
• LCM of 547, 117, 817
• LCM of 826, 356, 393
• LCM of 839, 964, 589

1. What is the LCM of 978, 326, 149?

Answer: LCM of 978, 326, 149 is 145722.

2. How to calculate the LCM of 978, 326, 149?

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 978, 326, 149.

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}.