Least Common Multiple of 480, 871, 869, 319, 728

Q: How to Find the LCM of 480, 871, 869, 319, 728 ?

Least Common Multiple of 480, 871, 869, 319, 728 = 73752238560 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(480, 871, 869, 319, 728) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 29 x 67 x 79 = 73752238560.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 480, 871, 869, 319, 728 i.e. 73752238560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 871, 869, 319, 728 is 73752238560.

LCM(480, 871, 869, 319, 728) = 73752238560

LCM of 480, 871, 869, 319, 728

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 480, 871, 869, 319, 728 by common division method
Least Common Multiple of 480, 871, 869, 319, 728 with GCF Formula

Least Common Multiple of 480,871,869,319,728

Least Common Multiple (LCM) of 480,871,869,319,728 is 73752238560

2	480, 871, 869, 319, 728
2	240, 871, 869, 319, 364
2	120, 871, 869, 319, 182
11	60, 871, 869, 319, 91
13	60, 871, 79, 29, 91
	60, 67, 79, 29, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 13 x 60 x 67 x 79 x 29 x 7 = 73752238560

Least Common Multiple of 480,871,869,319,728 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 480,871,869,319,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,871,869,319,728) = 1

common factors(in case of two or more numbers have common factors) = 1144

GCF(480,871,869,319,728) x common factors =1 x 1144 = 1144

LCM(480,871,869,319,728) = ( 480 × 871 × 869 × 319 × 728 ) / 1144

LCM(480,871,869,319,728) = 84372560912640 / 1144

LCM(480,871,869,319,728) = 73752238560

∴ Least Common Multiple of 480,871,869,319,728 is 73752238560

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 480, 871, 869, 319, 728

1. What is the LCM of 480, 871, 869, 319, 728?

Answer: LCM of 480, 871, 869, 319, 728 is 73752238560.

2. What are the Factors of 73752238560?

Answer: Factors of 73752238560 are . There are integers that are factors of 73752238560

3. How to Find the LCM of 480, 871, 869, 319, 728 ?

Least Common Multiple of 480, 871, 869, 319, 728.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(480, 871, 869, 319, 728) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 29 x 67 x 79 = 73752238560.