Least Common Multiple of 89/28, 411/52, 310/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/28, 411/52, 310/658 quickly i.e. 5669745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/28, 411/52, 310/658 is 5669745.

LCM(89/28, 411/52, 310/658) = 5669745

LCM of 89/28, 411/52, 310/658

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 89/28,411/52,310/658

Given numbers are 89/28,411/52,310/658

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 89,411,310

Least Common Multiple of Numerators i.e. LCM of 89,411,310 is 11339490.

GCF of Denominators means GCF of 28,52,658 as per the given fractions.

GCF of 28,52,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,411,310

LCM of Fractions 89/28,411/52,310/658 is 5669745

Given numbers has no common factors except 1. So, there LCM is their product i.e 11339490

Least Common Multiple of 89,411,310 with GCF Formula

Least Common Multiple of 89,411,310 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 89,411,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,411,310) = 1

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

GCF(89,411,310) x common factors =1 x 1 = 1

LCM(89,411,310) = ( 89 × 411 × 310 ) / 1

LCM(89,411,310) = 11339490 / 1

LCM(89,411,310) = 11339490


Lets's calculate GCF of 28,52,658

2 28, 52, 658
14, 26, 329

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11339490/2

Therefore the LCM of Fractions 89/28,411/52,310/658 is 5669745

Greatest Common Factor of 28,52,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,52,658 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 28,52,658 . The biggest common factor number is the GCF number.
So the greatest common factor 28,52,658 is 2.


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 89/28, 411/52, 310/658

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 89/28, 411/52, 310/658?

Answer: LCM of Numerators as per given numbers 89/28, 411/52, 310/658 is

LCM of Numerators i.e. for 89,411,310 is 11339490

GCF of denominators i.e. for 28,52,658 is 2.

Thus, LCM of Fractions is 5669745.Finally, LCM of Fractions for 89/28, 411/52, 310/658 is 5669745.