# What is LCM of 70 and 98?

LCM of 70 and 98 is 490

#### How to find lcm of two numbers

 1.   What is LCM? 2.   Steps to find LCM of 70 and 98 By Listing Method 3.   Steps to find LCM of 70 and 98 By Common Division Method 4.   Steps to find LCM of 70 and 98 By Formula 5.   Examples

#### Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 70 and 98, is defined as the smallest positive integer that is divisible by both. It is written as LCM(70, 98).

#### Properties of LCM

• LCM follows associative property, that means LCM(70, 98) = LCM(98, 70).
• LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
• LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
• The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 70 and 98 is 490, where 70 and 98 are less than 490.
• The LCM of two or more prime numbers is their product.

### Example: Find lcm of 70 and 98 by Listing Method

• Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450, 2520, 2590, 2660, 2730, 2800, 2870, 2940, 3010, 3080, 3150, 3220, 3290, 3360, 3430, 3500, 3570, 3640, 3710, 3780, 3850, 3920, 3990, 4060, 4130, 4200, 4270, 4340, 4410, 4480, 4550, 4620, 4690, 4760, 4830, 4900, 4970, 5040, 5110, 5180, 5250, 5320, 5390, 5460, 5530, 5600, 5670, 5740, 5810, 5880, 5950, 6020, 6090, 6160, 6230, 6300, 6370, 6440, 6510, 6580, 6650, 6720, 6790, 6860
• Multiples of 98: 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666, 1764, 1862, 1960, 2058, 2156, 2254, 2352, 2450, 2548, 2646, 2744, 2842, 2940, 3038, 3136, 3234, 3332, 3430, 3528, 3626, 3724, 3822, 3920, 4018, 4116, 4214, 4312, 4410, 4508, 4606, 4704, 4802, 4900, 4998, 5096, 5194, 5292, 5390, 5488, 5586, 5684, 5782, 5880, 5978, 6076, 6174, 6272, 6370, 6468, 6566, 6664, 6762, 6860

Hence, LCM of 70 and 98 is 490.

### Example: Find lcm of 70 and 98 by Common Division Method

 2 70 98 5 35 49 7 7 49 7 1 7 1 1

Hence, LCM of 70 and 98 is 2 x 5 x 7 x 7 = 490.

### Example: Find lcm of 70 and 98 by Formula

• GCF of 70 and 98 = 14
• LCM of 70 and 98 = (70 x 98) / 14
• => 6860 / 14

Hence, LCM of 70 and 98 is 490.

#### Examples

Franky and Joy are running on a circular track. They start at the same time. They take 70 and 98 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 70 and 98 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 70 and 98.
So, LCM of 70 and 98 is 490.

A shopkeeper sells candies in packet of 70 and chocolates in packet of 98. 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 70 and 98.
So, LCM of 70 and 98 is 490.

Both the cricket team and the rugby team had games, today. The cricket team plays every 70 days and the basketball team plays every 98 days. When will both teams have games on the same day again?

Given that the cricket team plays every 70 days and the basketball team plays every 98 days, so for finding the next time when both teams will play again we need to find the LCM of 70 and 98.
So, LCM of 70 and 98 is 490.

Freddy saves 70 dollars every day while Nikki saves 98 dollars every day. What is the least number of days it will take each person to save the same amount of money?

To find the least number of days that would be taken to be able to save the same amount of dollars we need to find the LCM of 70 and 98.
So, LCM of 70 and 98 is 490.

Boxes that are 70 inches tall are being pilled next to boxes that are 98 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 70 and 98.
So, LCM of 70 and 98 is 490.

Sammy's company prints 70 textbooks at a time. Daniel's company prints textbooks in sets of 98 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 70 and 98.
So, LCM of 70 and 98 is 490.

Ariel exercises every 70 days and Rubel every 98 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 70 and 98 is 490.