Least Common Multiple of 677/86, 347/89, 152/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/86, 347/89, 152/208 quickly i.e. 35707688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/86, 347/89, 152/208 is 35707688.

LCM(677/86, 347/89, 152/208) = 35707688

LCM of 677/86, 347/89, 152/208

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 677/86,347/89,152/208

Given numbers are 677/86,347/89,152/208

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 677,347,152

Least Common Multiple of Numerators i.e. LCM of 677,347,152 is 35707688.

GCF of Denominators means GCF of 86,89,208 as per the given fractions.

GCF of 86,89,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,347,152

LCM of Fractions 677/86,347/89,152/208 is 35707688

Given numbers has no common factors except 1. So, there LCM is their product i.e 35707688

Least Common Multiple of 677,347,152 with GCF Formula

Least Common Multiple of 677,347,152 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 677,347,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,347,152) = 1

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

GCF(677,347,152) x common factors =1 x 1 = 1

LCM(677,347,152) = ( 677 × 347 × 152 ) / 1

LCM(677,347,152) = 35707688 / 1

LCM(677,347,152) = 35707688


Lets's calculate GCF of 86,89,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35707688/1

Therefore the LCM of Fractions 677/86,347/89,152/208 is 35707688

Greatest Common Factor of 86,89,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,89,208 By Matching Biggest Common Factor Method

Factors of 86

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

1,2,43,86

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 86,89,208 . The biggest common factor number is the GCF number.
So the greatest common factor 86,89,208 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 677/86, 347/89, 152/208

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 677/86, 347/89, 152/208?

Answer: LCM of Numerators as per given numbers 677/86, 347/89, 152/208 is

LCM of Numerators i.e. for 677,347,152 is 35707688

GCF of denominators i.e. for 86,89,208 is 1.

Thus, LCM of Fractions is 35707688.Finally, LCM of Fractions for 677/86, 347/89, 152/208 is 35707688.