Least Common Multiple of 7585/316, 7670/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7585/316, 7670/834 quickly i.e. 5817695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7585/316, 7670/834 is 5817695.

LCM(7585/316, 7670/834) = 5817695

LCM of 7585/316, 7670/834

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 7585/316,7670/834

Given numbers are 7585/316,7670/834

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 7585,7670

Least Common Multiple of Numerators i.e. LCM of 7585,7670 is 11635390.

GCF of Denominators means GCF of 316,834 as per the given fractions.

GCF of 316,834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7585,7670

LCM of Fractions 7585/316,7670/834 is 5817695

5 7585, 7670
1517, 1534

∴ So the LCM of the given numbers is 5 x 1517 x 1534 = 11635390

Least Common Multiple of 7585,7670 with GCF Formula

Least Common Multiple of 7585,7670 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 7585,7670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7585,7670) = 5

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

GCF(7585,7670) x common factors =5 x 1 = 5

LCM(7585,7670) = ( 7585 × 7670 ) / 5

LCM(7585,7670) = 58176950 / 5

LCM(7585,7670) = 11635390


Lets's calculate GCF of 316,834

2 316, 834
158, 417

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11635390/2

Therefore the LCM of Fractions 7585/316,7670/834 is 5817695

Greatest Common Factor of 316,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,834 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 316,834 . The biggest common factor number is the GCF number.
So the greatest common factor 316,834 is 2.


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 7585/316, 7670/834

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 7585/316, 7670/834?

Answer: LCM of Numerators as per given numbers 7585/316, 7670/834 is

LCM of Numerators i.e. for 7585,7670 is 11635390

GCF of denominators i.e. for 316,834 is 2.

Thus, LCM of Fractions is 5817695.Finally, LCM of Fractions for 7585/316, 7670/834 is 5817695.