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LCM of 373, 970, 679, 205

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


Find the LCM of 373, 970, 679, 205 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 373, 970, 679, 205. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,970,679,205

Given numbers are 373,970,679,205

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

The LCM of 373,970,679,205 is 103839470.

Find LCM of 373,970,679,205 with Prime Factorization


5 373, 970, 679, 205
97 373, 194, 679, 41
373, 2, 7, 41

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

5 x 97 x 373 x 2 x 7 x 41 = 103839470

Therefore, the lowest common multiple of 373,970,679,205 is 103839470.

LCM Formula to Find Lowest Common Multiple of 373,970,679,205

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.

373 x 970 x 679 x 205 = 50362142950

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.

373 : 1, 373

970 : 1, 2, 5, 10, 97, 194, 485, 970

679 : 1, 7, 97, 679

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,970,679,205, is 1.

Now, the common factors can be found like this.

373:373

970:2x 5x 97

679:7x 97

205:5x 41

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

5x 97 = 485

Therefore, the value for common factors is 485.

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 = 50362142950/(1x485)

LCM = 50362142950/485

LCM = 103839470

Thus, we can understand that the LCM of 373,970,679,205 is 103839470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 970, 679, 205

1. What is the LCM of 373, 970, 679, 205?

Answer: LCM of 373, 970, 679, 205 is 103839470.

2. How to calculate the LCM of 373, 970, 679, 205?

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 373, 970, 679, 205.

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}.