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LCM of 919, 774, 948, 929, 890

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


Find the LCM of 919, 774, 948, 929, 890 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 919, 774, 948, 929, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,774,948,929,890

Given numbers are 919,774,948,929,890

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

The LCM of 919,774,948,929,890 is 46461078194940.

Find LCM of 919,774,948,929,890 with Prime Factorization


2 919, 774, 948, 929, 890
3 919, 387, 474, 929, 445
919, 129, 158, 929, 445

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

2 x 3 x 919 x 129 x 158 x 929 x 445 = 46461078194940

Therefore, the lowest common multiple of 919,774,948,929,890 is 46461078194940.

LCM Formula to Find Lowest Common Multiple of 919,774,948,929,890

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.

919 x 774 x 948 x 929 x 890 = 557532938339280

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.

919 : 1, 919

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

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

929 : 1, 929

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,774,948,929,890, is 1.

Now, the common factors can be found like this.

919:919

774:2x 3x 3x 43

948:2x 2x 3x 79

929:929

890:2x 5x 89

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 3 = 12

Therefore, the value for common factors is 12.

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 = 557532938339280/(1x12)

LCM = 557532938339280/12

LCM = 46461078194940

Thus, we can understand that the LCM of 919,774,948,929,890 is 46461078194940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 774, 948, 929, 890

1. What is the LCM of 919, 774, 948, 929, 890?

Answer: LCM of 919, 774, 948, 929, 890 is 46461078194940.

2. How to calculate the LCM of 919, 774, 948, 929, 890?

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 919, 774, 948, 929, 890.

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}.