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 968, 847, 253, 104, 892

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


Find the LCM of 968, 847, 253, 104, 892 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 968, 847, 253, 104, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,847,253,104,892

Given numbers are 968,847,253,104,892

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

The LCM of 968,847,253,104,892 is 451803352.

Find LCM of 968,847,253,104,892 with Prime Factorization


2 968, 847, 253, 104, 892
2 484, 847, 253, 52, 446
2 242, 847, 253, 26, 223
11 121, 847, 253, 13, 223
11 11, 77, 23, 13, 223
1, 7, 23, 13, 223

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

2 x 2 x 2 x 11 x 11 x 1 x 7 x 23 x 13 x 223 = 451803352

Therefore, the lowest common multiple of 968,847,253,104,892 is 451803352.

LCM Formula to Find Lowest Common Multiple of 968,847,253,104,892

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.

968 x 847 x 253 x 104 x 892 = 19243208368384

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

847 : 1, 7, 11, 77, 121, 847

253 : 1, 11, 23, 253

104 : 1, 2, 4, 8, 13, 26, 52, 104

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,847,253,104,892, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

847:7x 11x 11

253:11x 23

104:2x 2x 2x 13

892:2x 2x 223

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 2x 2x 2x 11x 11x 11 = 42592

Therefore, the value for common factors is 42592.

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 = 19243208368384/(1x42592)

LCM = 19243208368384/42592

LCM = 451803352

Thus, we can understand that the LCM of 968,847,253,104,892 is 451803352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 847, 253, 104, 892

1. What is the LCM of 968, 847, 253, 104, 892?

Answer: LCM of 968, 847, 253, 104, 892 is 451803352.

2. How to calculate the LCM of 968, 847, 253, 104, 892?

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 968, 847, 253, 104, 892.

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}.