Least Common Multiple of 69/270, 295/593, 101/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/270, 295/593, 101/700 quickly i.e. 2055855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/270, 295/593, 101/700 is 2055855.

LCM(69/270, 295/593, 101/700) = 2055855

LCM of 69/270, 295/593, 101/700

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 69/270,295/593,101/700

Given numbers are 69/270,295/593,101/700

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 69,295,101

Least Common Multiple of Numerators i.e. LCM of 69,295,101 is 2055855.

GCF of Denominators means GCF of 270,593,700 as per the given fractions.

GCF of 270,593,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,295,101

LCM of Fractions 69/270,295/593,101/700 is 2055855

Given numbers has no common factors except 1. So, there LCM is their product i.e 2055855

Least Common Multiple of 69,295,101 with GCF Formula

Least Common Multiple of 69,295,101 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 69,295,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,295,101) = 1

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

GCF(69,295,101) x common factors =1 x 1 = 1

LCM(69,295,101) = ( 69 × 295 × 101 ) / 1

LCM(69,295,101) = 2055855 / 1

LCM(69,295,101) = 2055855


Lets's calculate GCF of 270,593,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2055855/1

Therefore the LCM of Fractions 69/270,295/593,101/700 is 2055855

Greatest Common Factor of 270,593,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,593,700 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 270,593,700 . The biggest common factor number is the GCF number.
So the greatest common factor 270,593,700 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 69/270, 295/593, 101/700

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 69/270, 295/593, 101/700?

Answer: LCM of Numerators as per given numbers 69/270, 295/593, 101/700 is

LCM of Numerators i.e. for 69,295,101 is 2055855

GCF of denominators i.e. for 270,593,700 is 1.

Thus, LCM of Fractions is 2055855.Finally, LCM of Fractions for 69/270, 295/593, 101/700 is 2055855.