Least Common Multiple of 355/904, 4185/5670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/904, 4185/5670 quickly i.e. 297135/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/904, 4185/5670 is 297135/2.

LCM(355/904, 4185/5670) = 297135/2

LCM of 355/904, 4185/5670

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 355/904,4185/5670

Given numbers are 355/904,4185/5670

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 355,4185

Least Common Multiple of Numerators i.e. LCM of 355,4185 is 297135.

GCF of Denominators means GCF of 904,5670 as per the given fractions.

GCF of 904,5670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,4185

LCM of Fractions 355/904,4185/5670 is 297135/2

5 355, 4185
71, 837

∴ So the LCM of the given numbers is 5 x 71 x 837 = 297135

Least Common Multiple of 355,4185 with GCF Formula

Least Common Multiple of 355,4185 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 355,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,4185) = 5

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

GCF(355,4185) x common factors =5 x 1 = 5

LCM(355,4185) = ( 355 × 4185 ) / 5

LCM(355,4185) = 1485675 / 5

LCM(355,4185) = 297135


Lets's calculate GCF of 904,5670

2 904, 5670
452, 2835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297135/2

Therefore the LCM of Fractions 355/904,4185/5670 is 297135/2

Greatest Common Factor of 904,5670 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,5670 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 5670

List of positive integer factors of 5670 that divides 5670 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670

Greatest Common Factor

We found the factors 904,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 904,5670 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 355/904, 4185/5670

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 355/904, 4185/5670?

Answer: LCM of Numerators as per given numbers 355/904, 4185/5670 is

LCM of Numerators i.e. for 355,4185 is 297135

GCF of denominators i.e. for 904,5670 is 2.

Thus, LCM of Fractions is 297135/2.Finally, LCM of Fractions for 355/904, 4185/5670 is 297135/2.