LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 314, 471, 989, 778

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 314, 471, 989, 778 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 314, 471, 989, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,471,989,778

Given numbers are 314,471,989,778

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

The LCM of 314,471,989,778 is 362407182.

Find LCM of 314,471,989,778 with Prime Factorization


2 314, 471, 989, 778
157 157, 471, 989, 389
1, 3, 989, 389

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

2 x 157 x 1 x 3 x 989 x 389 = 362407182

Therefore, the lowest common multiple of 314,471,989,778 is 362407182.

LCM Formula to Find Lowest Common Multiple of 314,471,989,778

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.

314 x 471 x 989 x 778 = 113795855148

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.

314 : 1, 2, 157, 314

471 : 1, 3, 157, 471

989 : 1, 23, 43, 989

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,471,989,778, is 1.

Now, the common factors can be found like this.

314:2x 157

471:3x 157

989:23x 43

778:2x 389

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 113795855148/(1x314)

LCM = 113795855148/314

LCM = 362407182

Thus, we can understand that the LCM of 314,471,989,778 is 362407182.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 471, 989, 778

1. What is the LCM of 314, 471, 989, 778?

Answer: LCM of 314, 471, 989, 778 is 362407182.

2. How to calculate the LCM of 314, 471, 989, 778?

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 314, 471, 989, 778.

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}.