Least Common Multiple of 691/310, 8510/6349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 691/310, 8510/6349 quickly i.e. 5880410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 691/310, 8510/6349 is 5880410.

LCM(691/310, 8510/6349) = 5880410

LCM of 691/310, 8510/6349

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 691/310,8510/6349

Given numbers are 691/310,8510/6349

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 691,8510

Least Common Multiple of Numerators i.e. LCM of 691,8510 is 5880410.

GCF of Denominators means GCF of 310,6349 as per the given fractions.

GCF of 310,6349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 691,8510

LCM of Fractions 691/310,8510/6349 is 5880410

Given numbers has no common factors except 1. So, there LCM is their product i.e 5880410

Least Common Multiple of 691,8510 with GCF Formula

Least Common Multiple of 691,8510 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 691,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,8510) = 1

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

GCF(691,8510) x common factors =1 x 1 = 1

LCM(691,8510) = ( 691 × 8510 ) / 1

LCM(691,8510) = 5880410 / 1

LCM(691,8510) = 5880410


Lets's calculate GCF of 310,6349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5880410/1

Therefore the LCM of Fractions 691/310,8510/6349 is 5880410

Greatest Common Factor of 310,6349 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,6349 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Greatest Common Factor

We found the factors 310,6349 . The biggest common factor number is the GCF number.
So the greatest common factor 310,6349 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 691/310, 8510/6349

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 691/310, 8510/6349?

Answer: LCM of Numerators as per given numbers 691/310, 8510/6349 is

LCM of Numerators i.e. for 691,8510 is 5880410

GCF of denominators i.e. for 310,6349 is 1.

Thus, LCM of Fractions is 5880410.Finally, LCM of Fractions for 691/310, 8510/6349 is 5880410.