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LCM of 708, 923, 611, 971

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


Find the LCM of 708, 923, 611, 971 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 708, 923, 611, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,923,611,971

Given numbers are 708,923,611,971

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

The LCM of 708,923,611,971 is 29823049308.

Find LCM of 708,923,611,971 with Prime Factorization


13 708, 923, 611, 971
708, 71, 47, 971

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

13 x 708 x 71 x 47 x 971 = 29823049308

Therefore, the lowest common multiple of 708,923,611,971 is 29823049308.

LCM Formula to Find Lowest Common Multiple of 708,923,611,971

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.

708 x 923 x 611 x 971 = 387699641004

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

923 : 1, 13, 71, 923

611 : 1, 13, 47, 611

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,923,611,971, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

923:13x 71

611:13x 47

971:971

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

13 = 13

Therefore, the value for common factors is 13.

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 = 387699641004/(1x13)

LCM = 387699641004/13

LCM = 29823049308

Thus, we can understand that the LCM of 708,923,611,971 is 29823049308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 923, 611, 971

1. What is the LCM of 708, 923, 611, 971?

Answer: LCM of 708, 923, 611, 971 is 29823049308.

2. How to calculate the LCM of 708, 923, 611, 971?

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 708, 923, 611, 971.

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}.