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 945, 314, 212, 942

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


Find the LCM of 945, 314, 212, 942 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 945, 314, 212, 942. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,314,212,942

Given numbers are 945,314,212,942

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

The LCM of 945,314,212,942 is 31453380.

Find LCM of 945,314,212,942 with Prime Factorization


2 945, 314, 212, 942
3 945, 157, 106, 471
157 315, 157, 106, 157
315, 1, 106, 1

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

2 x 3 x 157 x 315 x 1 x 106 x 1 = 31453380

Therefore, the lowest common multiple of 945,314,212,942 is 31453380.

LCM Formula to Find Lowest Common Multiple of 945,314,212,942

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.

945 x 314 x 212 x 942 = 59258167920

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

314 : 1, 2, 157, 314

212 : 1, 2, 4, 53, 106, 212

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,314,212,942, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

314:2x 157

212:2x 2x 53

942:2x 3x 157

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 3x 157 = 1884

Therefore, the value for common factors is 1884.

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 = 59258167920/(1x1884)

LCM = 59258167920/1884

LCM = 31453380

Thus, we can understand that the LCM of 945,314,212,942 is 31453380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 314, 212, 942

1. What is the LCM of 945, 314, 212, 942?

Answer: LCM of 945, 314, 212, 942 is 31453380.

2. How to calculate the LCM of 945, 314, 212, 942?

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 945, 314, 212, 942.

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}.