Least Common Multiple of 34/835, 70/867, 528/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/835, 70/867, 528/115 quickly i.e. 314160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/835, 70/867, 528/115 is 314160.

LCM(34/835, 70/867, 528/115) = 314160

LCM of 34/835, 70/867, 528/115

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 34/835,70/867,528/115

Given numbers are 34/835,70/867,528/115

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 34,70,528

Least Common Multiple of Numerators i.e. LCM of 34,70,528 is 314160.

GCF of Denominators means GCF of 835,867,115 as per the given fractions.

GCF of 835,867,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,70,528

LCM of Fractions 34/835,70/867,528/115 is 314160

2 34, 70, 528
17, 35, 264

∴ So the LCM of the given numbers is 2 x 17 x 35 x 264 = 314160

Least Common Multiple of 34,70,528 with GCF Formula

Least Common Multiple of 34,70,528 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 34,70,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,70,528) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,70,528) x common factors =2 x 2 = 4

LCM(34,70,528) = ( 34 × 70 × 528 ) / 4

LCM(34,70,528) = 1256640 / 4

LCM(34,70,528) = 314160


Lets's calculate GCF of 835,867,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314160/1

Therefore the LCM of Fractions 34/835,70/867,528/115 is 314160

Greatest Common Factor of 835,867,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,867,115 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 835,867,115 . The biggest common factor number is the GCF number.
So the greatest common factor 835,867,115 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 34/835, 70/867, 528/115

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 34/835, 70/867, 528/115?

Answer: LCM of Numerators as per given numbers 34/835, 70/867, 528/115 is

LCM of Numerators i.e. for 34,70,528 is 314160

GCF of denominators i.e. for 835,867,115 is 1.

Thus, LCM of Fractions is 314160.Finally, LCM of Fractions for 34/835, 70/867, 528/115 is 314160.