Least Common Multiple of 710/34, 918/7905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 710/34, 918/7905 quickly i.e. 19170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/34, 918/7905 is 19170.

LCM(710/34, 918/7905) = 19170

LCM of 710/34, 918/7905

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 710/34,918/7905

Given numbers are 710/34,918/7905

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 710,918

Least Common Multiple of Numerators i.e. LCM of 710,918 is 325890.

GCF of Denominators means GCF of 34,7905 as per the given fractions.

GCF of 34,7905 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,918

LCM of Fractions 710/34,918/7905 is 19170

2 710, 918
355, 459

∴ So the LCM of the given numbers is 2 x 355 x 459 = 325890

Least Common Multiple of 710,918 with GCF Formula

Least Common Multiple of 710,918 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 710,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,918) = 2

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

GCF(710,918) x common factors =2 x 1 = 2

LCM(710,918) = ( 710 × 918 ) / 2

LCM(710,918) = 651780 / 2

LCM(710,918) = 325890


Lets's calculate GCF of 34,7905

17 34, 7905
2, 465

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325890/17

Therefore the LCM of Fractions 710/34,918/7905 is 19170

Greatest Common Factor of 34,7905 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,7905 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 7905

List of positive integer factors of 7905 that divides 7905 without a remainder.

1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905

Greatest Common Factor

We found the factors 34,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7905 is 17.


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 710/34, 918/7905

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 710/34, 918/7905?

Answer: LCM of Numerators as per given numbers 710/34, 918/7905 is

LCM of Numerators i.e. for 710,918 is 325890

GCF of denominators i.e. for 34,7905 is 17.

Thus, LCM of Fractions is 19170.Finally, LCM of Fractions for 710/34, 918/7905 is 19170.