Least Common Multiple of 53/87, 45/71, 66/70, 69/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/87, 45/71, 66/70, 69/245 quickly i.e. 1206810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/87, 45/71, 66/70, 69/245 is 1206810.

LCM(53/87, 45/71, 66/70, 69/245) = 1206810

LCM of 53/87, 45/71, 66/70, 69/245

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 53/87,45/71,66/70,69/245

Given numbers are 53/87,45/71,66/70,69/245

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 53,45,66,69

Least Common Multiple of Numerators i.e. LCM of 53,45,66,69 is 1206810.

GCF of Denominators means GCF of 87,71,70,245 as per the given fractions.

GCF of 87,71,70,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,45,66,69

LCM of Fractions 53/87,45/71,66/70,69/245 is 1206810

3 53, 45, 66, 69
53, 15, 22, 23

∴ So the LCM of the given numbers is 3 x 53 x 15 x 22 x 23 = 1206810

Least Common Multiple of 53,45,66,69 with GCF Formula

Least Common Multiple of 53,45,66,69 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 53,45,66,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,45,66,69) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(53,45,66,69) x common factors =1 x 9 = 9

LCM(53,45,66,69) = ( 53 × 45 × 66 × 69 ) / 9

LCM(53,45,66,69) = 10861290 / 9

LCM(53,45,66,69) = 1206810


Lets's calculate GCF of 87,71,70,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206810/1

Therefore the LCM of Fractions 53/87,45/71,66/70,69/245 is 1206810

Greatest Common Factor of 87,71,70,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,71,70,245 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 87,71,70,245 . The biggest common factor number is the GCF number.
So the greatest common factor 87,71,70,245 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 53/87, 45/71, 66/70, 69/245

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 53/87, 45/71, 66/70, 69/245?

Answer: LCM of Numerators as per given numbers 53/87, 45/71, 66/70, 69/245 is

LCM of Numerators i.e. for 53,45,66,69 is 1206810

GCF of denominators i.e. for 87,71,70,245 is 1.

Thus, LCM of Fractions is 1206810.Finally, LCM of Fractions for 53/87, 45/71, 66/70, 69/245 is 1206810.