What is the LCM of 101 and 200 - Find out answer step by step

What is LCM of two numbers?

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 101 and 200.

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(101, 200) = LCM(200, 101).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is always greater than the given numbers numbers. Eg- LCM of 101 and 200 is 20200, where 20200 is greater than 101 and 200.

Steps to find lcm of 101 and 200 by Listing Method

Find some first multiples of 101 and 200.
Find the least common multiple, and read off the answer!

Example: Find lcm of 101 and 200 by Listing Method

Multiples of 101: 101, 202, 303, 404, 505, 606, 707, 808, 909, 1010, 1111, 1212, 1313, 1414, 1515, 1616, 1717, 1818, 1919, 2020, 2121, 2222, 2323, 2424, 2525, 2626, 2727, 2828, 2929, 3030, 3131, 3232, 3333, 3434, 3535, 3636, 3737, 3838, 3939, 4040, 4141, 4242, 4343, 4444, 4545, 4646, 4747, 4848, 4949, 5050, 5151, 5252, 5353, 5454, 5555, 5656, 5757, 5858, 5959, 6060, 6161, 6262, 6363, 6464, 6565, 6666, 6767, 6868, 6969, 7070, 7171, 7272, 7373, 7474, 7575, 7676, 7777, 7878, 7979, 8080, 8181, 8282, 8383, 8484, 8585, 8686, 8787, 8888, 8989, 9090, 9191, 9292, 9393, 9494, 9595, 9696, 9797, 9898, 9999, 10100, 10201, 10302, 10403, 10504, 10605, 10706, 10807, 10908, 11009, 11110, 11211, 11312, 11413, 11514, 11615, 11716, 11817, 11918, 12019, 12120, 12221, 12322, 12423, 12524, 12625, 12726, 12827, 12928, 13029, 13130, 13231, 13332, 13433, 13534, 13635, 13736, 13837, 13938, 14039, 14140, 14241, 14342, 14443, 14544, 14645, 14746, 14847, 14948, 15049, 15150, 15251, 15352, 15453, 15554, 15655, 15756, 15857, 15958, 16059, 16160, 16261, 16362, 16463, 16564, 16665, 16766, 16867, 16968, 17069, 17170, 17271, 17372, 17473, 17574, 17675, 17776, 17877, 17978, 18079, 18180, 18281, 18382, 18483, 18584, 18685, 18786, 18887, 18988, 19089, 19190, 19291, 19392, 19493, 19594, 19695, 19796, 19897, 19998, 20099, 20200
Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 2800, 3000, 3200, 3400, 3600, 3800, 4000, 4200, 4400, 4600, 4800, 5000, 5200, 5400, 5600, 5800, 6000, 6200, 6400, 6600, 6800, 7000, 7200, 7400, 7600, 7800, 8000, 8200, 8400, 8600, 8800, 9000, 9200, 9400, 9600, 9800, 10000, 10200, 10400, 10600, 10800, 11000, 11200, 11400, 11600, 11800, 12000, 12200, 12400, 12600, 12800, 13000, 13200, 13400, 13600, 13800, 14000, 14200, 14400, 14600, 14800, 15000, 15200, 15400, 15600, 15800, 16000, 16200, 16400, 16600, 16800, 17000, 17200, 17400, 17600, 17800, 18000, 18200, 18400, 18600, 18800, 19000, 19200, 19400, 19600, 19800, 20000, 20200

Hence, LCM of 101 and 200 is 20200.

Steps to find LCM of 101 and 200 by Common Division Method

Find all the prime numbers that would divide 101 and 200 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 101 and 200 by Common Division Method

2	101 200
2	101 100
2	101 50
5	101 25
5	101 5
101	101 1
	1 1

Hence, LCM of 101 and 200 is 2 x 2 x 2 x 5 x 5 x 101 = 20200.

Steps to find lcm of 101 and 200 by Formula

The formula for LCM is LCM (101, 200) = (101 x 200) / GCF (101, 200)
Apply the formula, and read off the answer!

Example: Find lcm of 101 and 200 by Formula

GCF of 101 and 200 = 1
LCM of 101 and 200 = (101 x 200) / 1
=> 20200 / 1

Hence, LCM of 101 and 200 is 20200.

Examples

Steve spends 101 dollars every day while George spends 200 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 101 and 200.
So, LCM of 101 and 200 is 20200.

Boxes that are 101 inches tall are being pilled next to boxes that are 200 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 101 and 200.
So, LCM of 101 and 200 is 20200.

Sammy's company prints 101 textbooks at a time. Daniel's company prints textbooks in sets of 200 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 101 and 200.
So, LCM of 101 and 200 is 20200.

Ram and Deepika are running on a circular track. They start at the same time. They take 101 and 200 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 101 and 200 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 101 and 200.
So, LCM of 101 and 200 is 20200.

Find the LCM of 101 and 200 using GCF method.

Greatest common factor or gcf of 101 and 200 is GCF(101, 200) x LCM(101, 200) = (101 x 200) / GCF(101, 200) = 20200.

Find the least common multiple of 101 and 200.

Least common multiple of 101 and 200 is 20200.

Find the least number which is exactly divisible by 101 and 200.

Least number which is exactly divisible by 101 and 200 is 20200.

What is LCM of 101 and 200?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 101 and 200 by Listing Method

Example: Find lcm of 101 and 200 by Listing Method

Steps to find LCM of 101 and 200 by Common Division Method

Example: Find lcm of 101 and 200 by Common Division Method

Steps to find lcm of 101 and 200 by Formula

Example: Find lcm of 101 and 200 by Formula

Examples

What is LCM of 101 and 200?

How to find lcm of two numbers

What is LCM of two numbers?

Properties of LCM

Steps to find lcm of 101 and 200 by Listing Method

Example: Find lcm of 101 and 200 by Listing Method

Steps to find LCM of 101 and 200 by Common Division Method

Example: Find lcm of 101 and 200 by Common Division Method

Steps to find lcm of 101 and 200 by Formula

Example: Find lcm of 101 and 200 by Formula

Examples

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