# What is LCM of 49 and 63?

LCM of 49 and 63 is 441

#### How to find lcm of two numbers

 1.   What is LCM? 2.   Steps to find LCM of 49 and 63 By Listing Method 3.   Steps to find LCM of 49 and 63 By Common Division Method 4.   Steps to find LCM of 49 and 63 By Formula 5.   Examples

#### What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 49 and 63.

#### Properties of LCM

• The LCM of two or more prime numbers is exactly equal to their product.
• LCM is associative which means LCM(49, 63) = LCM(63, 49).
• 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 49 and 63 is 441, where 441 is greater than 49 and 63.

### Example: Find lcm of 49 and 63 by Listing Method

• Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038, 3087
• Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756, 819, 882, 945, 1008, 1071, 1134, 1197, 1260, 1323, 1386, 1449, 1512, 1575, 1638, 1701, 1764, 1827, 1890, 1953, 2016, 2079, 2142, 2205, 2268, 2331, 2394, 2457, 2520, 2583, 2646, 2709, 2772, 2835, 2898, 2961, 3024, 3087

Hence, LCM of 49 and 63 is 441.

### Example: Find lcm of 49 and 63 by Common Division Method

 3 49 63 3 49 21 7 49 7 7 7 1 1 1

Hence, LCM of 49 and 63 is 3 x 3 x 7 x 7 = 441.

### Example: Find lcm of 49 and 63 by Formula

• GCF of 49 and 63 = 7
• LCM of 49 and 63 = (49 x 63) / 7
• => 3087 / 7

Hence, LCM of 49 and 63 is 441.

#### Examples

Franky and Joy are running on a circular track. They start at the same time. They take 49 and 63 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 49 and 63 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 49 and 63.
So, LCM of 49 and 63 is 441.

A shopkeeper sells candies in packet of 49 and chocolates in packet of 63. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 49 and 63.
So, LCM of 49 and 63 is 441.

Boxes that are 49 inches tall are being pilled next to boxes that are 63 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 49 and 63.
So, LCM of 49 and 63 is 441.

Sammy's company prints 49 textbooks at a time. Daniel's company prints textbooks in sets of 63 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 49 and 63.
So, LCM of 49 and 63 is 441.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 49 and 63 is GCF(49, 63) * LCM(49, 63) = (49 x 63) / GCF(49, 63) = 441.

Find the least number which is exactly divisible by 49 and 63.

Least number which is exactly divisible by 49 and 63 is 441.

Find the LCM of 49 and 63 using GCF method.

Greatest common factor or gcf of 49 and 63 is GCF(49, 63) x LCM(49, 63) = (49 x 63) / GCF(49, 63) = 441.