Least Common Multiple of 2710/264, 3185/2975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2710/264, 3185/2975 quickly i.e. 1726270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2710/264, 3185/2975 is 1726270.

LCM(2710/264, 3185/2975) = 1726270

LCM of 2710/264, 3185/2975

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 2710/264,3185/2975

Given numbers are 2710/264,3185/2975

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 2710,3185

Least Common Multiple of Numerators i.e. LCM of 2710,3185 is 1726270.

GCF of Denominators means GCF of 264,2975 as per the given fractions.

GCF of 264,2975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2710,3185

LCM of Fractions 2710/264,3185/2975 is 1726270

5 2710, 3185
542, 637

∴ So the LCM of the given numbers is 5 x 542 x 637 = 1726270

Least Common Multiple of 2710,3185 with GCF Formula

Least Common Multiple of 2710,3185 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 2710,3185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2710,3185) = 5

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

GCF(2710,3185) x common factors =5 x 1 = 5

LCM(2710,3185) = ( 2710 × 3185 ) / 5

LCM(2710,3185) = 8631350 / 5

LCM(2710,3185) = 1726270


Lets's calculate GCF of 264,2975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1726270/1

Therefore the LCM of Fractions 2710/264,3185/2975 is 1726270

Greatest Common Factor of 264,2975 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,2975 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1,5,7,17,25,35,85,119,175,425,595,2975

Greatest Common Factor

We found the factors 264,2975 . The biggest common factor number is the GCF number.
So the greatest common factor 264,2975 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 2710/264, 3185/2975

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 2710/264, 3185/2975?

Answer: LCM of Numerators as per given numbers 2710/264, 3185/2975 is

LCM of Numerators i.e. for 2710,3185 is 1726270

GCF of denominators i.e. for 264,2975 is 1.

Thus, LCM of Fractions is 1726270.Finally, LCM of Fractions for 2710/264, 3185/2975 is 1726270.