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 703, 976, 946, 774

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


Find the LCM of 703, 976, 946, 774 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 703, 976, 946, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,976,946,774

Given numbers are 703,976,946,774

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

The LCM of 703,976,946,774 is 2920846896.

Find LCM of 703,976,946,774 with Prime Factorization


2 703, 976, 946, 774
43 703, 488, 473, 387
703, 488, 11, 9

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

2 x 43 x 703 x 488 x 11 x 9 = 2920846896

Therefore, the lowest common multiple of 703,976,946,774 is 2920846896.

LCM Formula to Find Lowest Common Multiple of 703,976,946,774

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.

703 x 976 x 946 x 774 = 502385666112

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.

703 : 1, 19, 37, 703

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

946 : 1, 2, 11, 22, 43, 86, 473, 946

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,976,946,774, is 1.

Now, the common factors can be found like this.

703:19x 37

976:2x 2x 2x 2x 61

946:2x 11x 43

774:2x 3x 3x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 502385666112/(1x172)

LCM = 502385666112/172

LCM = 2920846896

Thus, we can understand that the LCM of 703,976,946,774 is 2920846896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 976, 946, 774

1. What is the LCM of 703, 976, 946, 774?

Answer: LCM of 703, 976, 946, 774 is 2920846896.

2. How to calculate the LCM of 703, 976, 946, 774?

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 703, 976, 946, 774.

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}.