Least Common Multiple of 655/74, 755/86, 301/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 655/74, 755/86, 301/169 quickly i.e. 29770405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 655/74, 755/86, 301/169 is 29770405.

LCM(655/74, 755/86, 301/169) = 29770405

LCM of 655/74, 755/86, 301/169

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 655/74,755/86,301/169

Given numbers are 655/74,755/86,301/169

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 655,755,301

Least Common Multiple of Numerators i.e. LCM of 655,755,301 is 29770405.

GCF of Denominators means GCF of 74,86,169 as per the given fractions.

GCF of 74,86,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 655,755,301

LCM of Fractions 655/74,755/86,301/169 is 29770405

5 655, 755, 301
131, 151, 301

∴ So the LCM of the given numbers is 5 x 131 x 151 x 301 = 29770405

Least Common Multiple of 655,755,301 with GCF Formula

Least Common Multiple of 655,755,301 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 655,755,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,755,301) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(655,755,301) x common factors =1 x 5 = 5

LCM(655,755,301) = ( 655 × 755 × 301 ) / 5

LCM(655,755,301) = 148852025 / 5

LCM(655,755,301) = 29770405


Lets's calculate GCF of 74,86,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29770405/1

Therefore the LCM of Fractions 655/74,755/86,301/169 is 29770405

Greatest Common Factor of 74,86,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,86,169 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 74,86,169 . The biggest common factor number is the GCF number.
So the greatest common factor 74,86,169 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 655/74, 755/86, 301/169

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 655/74, 755/86, 301/169?

Answer: LCM of Numerators as per given numbers 655/74, 755/86, 301/169 is

LCM of Numerators i.e. for 655,755,301 is 29770405

GCF of denominators i.e. for 74,86,169 is 1.

Thus, LCM of Fractions is 29770405.Finally, LCM of Fractions for 655/74, 755/86, 301/169 is 29770405.