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LCM of 397, 967, 711, 967

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


Find the LCM of 397, 967, 711, 967 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 397, 967, 711, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,967,711,967

Given numbers are 397,967,711,967

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

The LCM of 397,967,711,967 is 272952189.

Find LCM of 397,967,711,967 with Prime Factorization


967 397, 967, 711, 967
397, 1, 711, 1

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

967 x 397 x 1 x 711 x 1 = 272952189

Therefore, the lowest common multiple of 397,967,711,967 is 272952189.

LCM Formula to Find Lowest Common Multiple of 397,967,711,967

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.

397 x 967 x 711 x 967 = 263944766763

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.

397 : 1, 397

967 : 1, 967

711 : 1, 3, 9, 79, 237, 711

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,967,711,967, is 1.

Now, the common factors can be found like this.

397:397

967:967

711:3x 3x 79

967:967

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

967 = 967

Therefore, the value for common factors is 967.

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 = 263944766763/(1x967)

LCM = 263944766763/967

LCM = 272952189

Thus, we can understand that the LCM of 397,967,711,967 is 272952189.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 967, 711, 967

1. What is the LCM of 397, 967, 711, 967?

Answer: LCM of 397, 967, 711, 967 is 272952189.

2. How to calculate the LCM of 397, 967, 711, 967?

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 397, 967, 711, 967.

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}.