Given numbers are 924,748,319,740

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

The LCM of 924,748,319,740 is 84273420.

Find LCM of 924,748,319,740 with Prime Factorization

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

2 x 2 x 11 x 21 x 17 x 29 x 185 = 84273420

Therefore, the lowest common multiple of 924,748,319,740 is 84273420.

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.

924 x 748 x 319 x 740 = 163153341120

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

319 : 1, 11, 29, 319

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,748,319,740, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

748:2x 2x 11x 17

319:11x 29

740:2x 2x 5x 37

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

2x 2x 2x 2x 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 163153341120/(1x1936)

LCM = 163153341120/1936

LCM = 84273420

Thus, we can understand that the LCM of 924,748,319,740 is 84273420.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 364, 246, 318, 446
• LCM of 394, 173, 318, 161
• LCM of 620, 943, 709, 145
• LCM of 126, 183, 304, 727
• LCM of 941, 483, 472, 100

1. What is the LCM of 924, 748, 319, 740?

Answer: LCM of 924, 748, 319, 740 is 84273420.

2. How to calculate the LCM of 924, 748, 319, 740?

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 924, 748, 319, 740.

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}.