What is the LCM of 227 and 20 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 227 and 20

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 227 and 20 is 4540, where 227 and 20 are less than 4540.
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(227, 20) = LCM(20, 227).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 227 and 20 by Listing Method

Find some first multiples of 227 and 20.
Find the least common multiple, and read off the answer!

Example: Find lcm of 227 and 20 by Listing Method

Multiples of 227: 227, 454, 681, 908, 1135, 1362, 1589, 1816, 2043, 2270, 2497, 2724, 2951, 3178, 3405, 3632, 3859, 4086, 4313, 4540
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220, 1240, 1260, 1280, 1300, 1320, 1340, 1360, 1380, 1400, 1420, 1440, 1460, 1480, 1500, 1520, 1540, 1560, 1580, 1600, 1620, 1640, 1660, 1680, 1700, 1720, 1740, 1760, 1780, 1800, 1820, 1840, 1860, 1880, 1900, 1920, 1940, 1960, 1980, 2000, 2020, 2040, 2060, 2080, 2100, 2120, 2140, 2160, 2180, 2200, 2220, 2240, 2260, 2280, 2300, 2320, 2340, 2360, 2380, 2400, 2420, 2440, 2460, 2480, 2500, 2520, 2540, 2560, 2580, 2600, 2620, 2640, 2660, 2680, 2700, 2720, 2740, 2760, 2780, 2800, 2820, 2840, 2860, 2880, 2900, 2920, 2940, 2960, 2980, 3000, 3020, 3040, 3060, 3080, 3100, 3120, 3140, 3160, 3180, 3200, 3220, 3240, 3260, 3280, 3300, 3320, 3340, 3360, 3380, 3400, 3420, 3440, 3460, 3480, 3500, 3520, 3540, 3560, 3580, 3600, 3620, 3640, 3660, 3680, 3700, 3720, 3740, 3760, 3780, 3800, 3820, 3840, 3860, 3880, 3900, 3920, 3940, 3960, 3980, 4000, 4020, 4040, 4060, 4080, 4100, 4120, 4140, 4160, 4180, 4200, 4220, 4240, 4260, 4280, 4300, 4320, 4340, 4360, 4380, 4400, 4420, 4440, 4460, 4480, 4500, 4520, 4540

Hence, LCM of 227 and 20 is 4540.

Steps to find LCM of 227 and 20 by Common Division Method

Find all the prime numbers that would divide 227 and 20 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 227 and 20 by Common Division Method

2	227 20
2	227 10
5	227 5
227	227 1
	1 1

Hence, LCM of 227 and 20 is 2 x 2 x 5 x 227 = 4540.

Steps to find lcm of 227 and 20 by Formula

The formula for LCM is LCM (227, 20) = (227 x 20) / GCF (227, 20)
Apply the formula, and read off the answer!

Example: Find lcm of 227 and 20 by Formula

GCF of 227 and 20 = 1
LCM of 227 and 20 = (227 x 20) / 1
=> 4540 / 1

Hence, LCM of 227 and 20 is 4540.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 227 and 20 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 227 and 20 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 227 and 20.
So, LCM of 227 and 20 is 4540.

Both the cricket team and the rugby team had games, today. The cricket team plays every 227 days and the basketball team plays every 20 days. When will both teams have games on the same day again?

Given that the cricket team plays every 227 days and the basketball team plays every 20 days, so for finding the next time when both teams will play again we need to find the LCM of 227 and 20.
So, LCM of 227 and 20 is 4540.

Steve spends 227 dollars every day while George spends 20 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 227 and 20.
So, LCM of 227 and 20 is 4540.

Boxes that are 227 inches tall are being pilled next to boxes that are 20 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 227 and 20.
So, LCM of 227 and 20 is 4540.

Find the LCM of 227 and 20 using GCF method.

Greatest common factor or gcf of 227 and 20 is GCF(227, 20) x LCM(227, 20) = (227 x 20) / GCF(227, 20) = 4540.

Find the least common multiple of 227 and 20.

Least common multiple of 227 and 20 is 4540.

Find the least number which is exactly divisible by 227 and 20.

Least number which is exactly divisible by 227 and 20 is 4540.

What is LCM of 227 and 20?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 227 and 20 by Listing Method

Example: Find lcm of 227 and 20 by Listing Method

Steps to find LCM of 227 and 20 by Common Division Method

Example: Find lcm of 227 and 20 by Common Division Method

Steps to find lcm of 227 and 20 by Formula

Example: Find lcm of 227 and 20 by Formula

Examples

What is LCM of 227 and 20?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 227 and 20 by Listing Method

Example: Find lcm of 227 and 20 by Listing Method

Steps to find LCM of 227 and 20 by Common Division Method

Example: Find lcm of 227 and 20 by Common Division Method

Steps to find lcm of 227 and 20 by Formula

Example: Find lcm of 227 and 20 by Formula

Examples

Recommended

User Also Visited