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LCM of 327, 763, 199, 974

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


Find the LCM of 327, 763, 199, 974 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 327, 763, 199, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,763,199,974

Given numbers are 327,763,199,974

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

The LCM of 327,763,199,974 is 443667714.

Find LCM of 327,763,199,974 with Prime Factorization


109 327, 763, 199, 974
3, 7, 199, 974

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

109 x 3 x 7 x 199 x 974 = 443667714

Therefore, the lowest common multiple of 327,763,199,974 is 443667714.

LCM Formula to Find Lowest Common Multiple of 327,763,199,974

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.

327 x 763 x 199 x 974 = 48359780826

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.

327 : 1, 3, 109, 327

763 : 1, 7, 109, 763

199 : 1, 199

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,763,199,974, is 1.

Now, the common factors can be found like this.

327:3x 109

763:7x 109

199:199

974:2x 487

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

109 = 109

Therefore, the value for common factors is 109.

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 = 48359780826/(1x109)

LCM = 48359780826/109

LCM = 443667714

Thus, we can understand that the LCM of 327,763,199,974 is 443667714.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 763, 199, 974

1. What is the LCM of 327, 763, 199, 974?

Answer: LCM of 327, 763, 199, 974 is 443667714.

2. How to calculate the LCM of 327, 763, 199, 974?

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 327, 763, 199, 974.

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}.