Least Common Multiple of 105/749, 6585/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/749, 6585/677 quickly i.e. 46095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/749, 6585/677 is 46095.

LCM(105/749, 6585/677) = 46095

LCM of 105/749, 6585/677

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 105/749,6585/677

Given numbers are 105/749,6585/677

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 105,6585

Least Common Multiple of Numerators i.e. LCM of 105,6585 is 46095.

GCF of Denominators means GCF of 749,677 as per the given fractions.

GCF of 749,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,6585

LCM of Fractions 105/749,6585/677 is 46095

3 105, 6585
5 35, 2195
7, 439

∴ So the LCM of the given numbers is 3 x 5 x 7 x 439 = 46095

Least Common Multiple of 105,6585 with GCF Formula

Least Common Multiple of 105,6585 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 105,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6585) = 15

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

GCF(105,6585) x common factors =15 x 1 = 15

LCM(105,6585) = ( 105 × 6585 ) / 15

LCM(105,6585) = 691425 / 15

LCM(105,6585) = 46095


Lets's calculate GCF of 749,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46095/1

Therefore the LCM of Fractions 105/749,6585/677 is 46095

Greatest Common Factor of 749,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,677 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 749,677 . The biggest common factor number is the GCF number.
So the greatest common factor 749,677 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 105/749, 6585/677

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 105/749, 6585/677?

Answer: LCM of Numerators as per given numbers 105/749, 6585/677 is

LCM of Numerators i.e. for 105,6585 is 46095

GCF of denominators i.e. for 749,677 is 1.

Thus, LCM of Fractions is 46095.Finally, LCM of Fractions for 105/749, 6585/677 is 46095.