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LCM of 674, 847, 739, 974

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


Find the LCM of 674, 847, 739, 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 674, 847, 739, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 674,847,739,974

Given numbers are 674,847,739,974

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

The LCM of 674,847,739,974 is 205454996054.

Find LCM of 674,847,739,974 with Prime Factorization


2 674, 847, 739, 974
337, 847, 739, 487

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

2 x 337 x 847 x 739 x 487 = 205454996054

Therefore, the lowest common multiple of 674,847,739,974 is 205454996054.

LCM Formula to Find Lowest Common Multiple of 674,847,739,974

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.

674 x 847 x 739 x 974 = 410909992108

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.

674 : 1, 2, 337, 674

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

739 : 1, 739

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,847,739,974, is 1.

Now, the common factors can be found like this.

674:2x 337

847:7x 11x 11

739:739

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 410909992108/(1x2)

LCM = 410909992108/2

LCM = 205454996054

Thus, we can understand that the LCM of 674,847,739,974 is 205454996054.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 674, 847, 739, 974

1. What is the LCM of 674, 847, 739, 974?

Answer: LCM of 674, 847, 739, 974 is 205454996054.

2. How to calculate the LCM of 674, 847, 739, 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 674, 847, 739, 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}.