Least Common Multiple of 23/340, 72/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/340, 72/770 quickly i.e. 1656/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/340, 72/770 is 1656/10.

LCM(23/340, 72/770) = 1656/10

LCM of 23/340, 72/770

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/340,72/770

Given numbers are 23/340,72/770

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,72

Least Common Multiple of Numerators i.e. LCM of 23,72 is 1656.

GCF of Denominators means GCF of 340,770 as per the given fractions.

GCF of 340,770 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,72

LCM of Fractions 23/340,72/770 is 1656/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1656

Least Common Multiple of 23,72 with GCF Formula

Least Common Multiple of 23,72 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,72) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,72) x common factors =1 x 1 = 1

LCM(23,72) = ( 23 × 72 ) / 1

LCM(23,72) = 1656 / 1

LCM(23,72) = 1656


Lets's calculate GCF of 340,770

2 340, 770
5 170, 385
34, 77

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/10

Therefore the LCM of Fractions 23/340,72/770 is 1656/10

Greatest Common Factor of 340,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,770 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 340,770 . The biggest common factor number is the GCF number.
So the greatest common factor 340,770 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/340, 72/770

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/340, 72/770?

Answer: LCM of Numerators as per given numbers 23/340, 72/770 is

LCM of Numerators i.e. for 23,72 is 1656

GCF of denominators i.e. for 340,770 is 10.

Thus, LCM of Fractions is 1656/10.Finally, LCM of Fractions for 23/340, 72/770 is 1656/10.