Least Common Multiple of 23/137, 707/714, 212/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/137, 707/714, 212/290 quickly i.e. 3447332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/137, 707/714, 212/290 is 3447332.

LCM(23/137, 707/714, 212/290) = 3447332

LCM of 23/137, 707/714, 212/290

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 23/137,707/714,212/290

Given numbers are 23/137,707/714,212/290

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 23,707,212

Least Common Multiple of Numerators i.e. LCM of 23,707,212 is 3447332.

GCF of Denominators means GCF of 137,714,290 as per the given fractions.

GCF of 137,714,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,707,212

LCM of Fractions 23/137,707/714,212/290 is 3447332

Given numbers has no common factors except 1. So, there LCM is their product i.e 3447332

Least Common Multiple of 23,707,212 with GCF Formula

Least Common Multiple of 23,707,212 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 23,707,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,707,212) = 1

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

GCF(23,707,212) x common factors =1 x 1 = 1

LCM(23,707,212) = ( 23 × 707 × 212 ) / 1

LCM(23,707,212) = 3447332 / 1

LCM(23,707,212) = 3447332


Lets's calculate GCF of 137,714,290

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3447332/1

Therefore the LCM of Fractions 23/137,707/714,212/290 is 3447332

Greatest Common Factor of 137,714,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,714,290 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 137,714,290 . The biggest common factor number is the GCF number.
So the greatest common factor 137,714,290 is 1.


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 23/137, 707/714, 212/290

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 23/137, 707/714, 212/290?

Answer: LCM of Numerators as per given numbers 23/137, 707/714, 212/290 is

LCM of Numerators i.e. for 23,707,212 is 3447332

GCF of denominators i.e. for 137,714,290 is 1.

Thus, LCM of Fractions is 3447332.Finally, LCM of Fractions for 23/137, 707/714, 212/290 is 3447332.