LCM for 105 and 770

What's the Least Common Multiple (LCM) of 105 and 770?

Answer: LCM of 105 and 770 is 2,310

(Two thousand, three hundred ten)

Finding LCM for 105 and 770 using GCF's of these numbers

The first method to find LCM for numbers 105 and 770 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 770 is 35, so

LCM = (105 × 770) ÷ 35

LCM = 80850 ÷ 35

LCM = 2310

Finding LCM for 105 and 770 by Listing Multiples

The second method to find LCM for numbers 105 and 770 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310, 2415, 2520

Multiples of 770: 770, 1540, 2310, 3080, 3850

So the LCM for 105 and 770 is 2310

Finding LCM for 105 and 770 by Prime Factorization

Another method to find LCM for numbers 105 and 770 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

All Prime Factors of 770: 2, 5, 7, 11 (exponent form: 21, 51, 71, 111)

31 × 51 × 71 × 21 × 111 = 2310

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
907706930
9177010010
9277035420
9377071610
9477036190
9577014630
9677036960
9777074690
987705390
997706930
1007707700
10177077770
10277039270
10377079310
10477040040
105770
10677040810
10777082390
10877041580
10977083930
110770770
11177085470
1127706160
11377087010
11477043890
11577017710
11677044660
11777090090
11877045430
11977013090

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 105 and 770? (The answer is: 2310). Select the first number (e.g. '105') and the second number (e.g. '770'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 105 and 770?

LCM of 105 and 770 is 2,310