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LCM of 949, 219, 491, 854

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


Find the LCM of 949, 219, 491, 854 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 949, 219, 491, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,219,491,854

Given numbers are 949,219,491,854

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

The LCM of 949,219,491,854 is 1193786958.

Find LCM of 949,219,491,854 with Prime Factorization


73 949, 219, 491, 854
13, 3, 491, 854

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

73 x 13 x 3 x 491 x 854 = 1193786958

Therefore, the lowest common multiple of 949,219,491,854 is 1193786958.

LCM Formula to Find Lowest Common Multiple of 949,219,491,854

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.

949 x 219 x 491 x 854 = 87146447934

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.

949 : 1, 13, 73, 949

219 : 1, 3, 73, 219

491 : 1, 491

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,219,491,854, is 1.

Now, the common factors can be found like this.

949:13x 73

219:3x 73

491:491

854:2x 7x 61

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

73 = 73

Therefore, the value for common factors is 73.

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 = 87146447934/(1x73)

LCM = 87146447934/73

LCM = 1193786958

Thus, we can understand that the LCM of 949,219,491,854 is 1193786958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 219, 491, 854

1. What is the LCM of 949, 219, 491, 854?

Answer: LCM of 949, 219, 491, 854 is 1193786958.

2. How to calculate the LCM of 949, 219, 491, 854?

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 949, 219, 491, 854.

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}.