Least Common Multiple of 3471/756, 3625/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3471/756, 3625/910 quickly i.e. 12582375/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3471/756, 3625/910 is 12582375/14.

LCM(3471/756, 3625/910) = 12582375/14

LCM of 3471/756, 3625/910

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 3471/756,3625/910

Given numbers are 3471/756,3625/910

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 3471,3625

Least Common Multiple of Numerators i.e. LCM of 3471,3625 is 12582375.

GCF of Denominators means GCF of 756,910 as per the given fractions.

GCF of 756,910 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3471,3625

LCM of Fractions 3471/756,3625/910 is 12582375/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 12582375

Least Common Multiple of 3471,3625 with GCF Formula

Least Common Multiple of 3471,3625 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 3471,3625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3471,3625) = 1

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

GCF(3471,3625) x common factors =1 x 1 = 1

LCM(3471,3625) = ( 3471 × 3625 ) / 1

LCM(3471,3625) = 12582375 / 1

LCM(3471,3625) = 12582375


Lets's calculate GCF of 756,910

2 756, 910
7 378, 455
54, 65

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12582375/14

Therefore the LCM of Fractions 3471/756,3625/910 is 12582375/14

Greatest Common Factor of 756,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,910 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 756,910 . The biggest common factor number is the GCF number.
So the greatest common factor 756,910 is 14.


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 3471/756, 3625/910

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 3471/756, 3625/910?

Answer: LCM of Numerators as per given numbers 3471/756, 3625/910 is

LCM of Numerators i.e. for 3471,3625 is 12582375

GCF of denominators i.e. for 756,910 is 14.

Thus, LCM of Fractions is 12582375/14.Finally, LCM of Fractions for 3471/756, 3625/910 is 12582375/14.