Least Common Multiple of 835/355, 1785/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 835/355, 1785/515 quickly i.e. 59619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 835/355, 1785/515 is 59619.

LCM(835/355, 1785/515) = 59619

LCM of 835/355, 1785/515

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 835/355,1785/515

Given numbers are 835/355,1785/515

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 835,1785

Least Common Multiple of Numerators i.e. LCM of 835,1785 is 298095.

GCF of Denominators means GCF of 355,515 as per the given fractions.

GCF of 355,515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 835,1785

LCM of Fractions 835/355,1785/515 is 59619

5 835, 1785
167, 357

∴ So the LCM of the given numbers is 5 x 167 x 357 = 298095

Least Common Multiple of 835,1785 with GCF Formula

Least Common Multiple of 835,1785 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 835,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,1785) = 5

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

GCF(835,1785) x common factors =5 x 1 = 5

LCM(835,1785) = ( 835 × 1785 ) / 5

LCM(835,1785) = 1490475 / 5

LCM(835,1785) = 298095


Lets's calculate GCF of 355,515

5 355, 515
71, 103

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298095/5

Therefore the LCM of Fractions 835/355,1785/515 is 59619

Greatest Common Factor of 355,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,515 By Matching Biggest Common Factor Method

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 355,515 . The biggest common factor number is the GCF number.
So the greatest common factor 355,515 is 5.


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 835/355, 1785/515

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 835/355, 1785/515?

Answer: LCM of Numerators as per given numbers 835/355, 1785/515 is

LCM of Numerators i.e. for 835,1785 is 298095

GCF of denominators i.e. for 355,515 is 5.

Thus, LCM of Fractions is 59619.Finally, LCM of Fractions for 835/355, 1785/515 is 59619.