Least Common Multiple of 1050/814, 3534/4636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1050/814, 3534/4636 quickly i.e. 309225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1050/814, 3534/4636 is 309225.

LCM(1050/814, 3534/4636) = 309225

LCM of 1050/814, 3534/4636

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 1050/814,3534/4636

Given numbers are 1050/814,3534/4636

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 1050,3534

Least Common Multiple of Numerators i.e. LCM of 1050,3534 is 618450.

GCF of Denominators means GCF of 814,4636 as per the given fractions.

GCF of 814,4636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1050,3534

LCM of Fractions 1050/814,3534/4636 is 309225

2 1050, 3534
3 525, 1767
175, 589

∴ So the LCM of the given numbers is 2 x 3 x 175 x 589 = 618450

Least Common Multiple of 1050,3534 with GCF Formula

Least Common Multiple of 1050,3534 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 1050,3534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1050,3534) = 6

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

GCF(1050,3534) x common factors =6 x 1 = 6

LCM(1050,3534) = ( 1050 × 3534 ) / 6

LCM(1050,3534) = 3710700 / 6

LCM(1050,3534) = 618450


Lets's calculate GCF of 814,4636

2 814, 4636
407, 2318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 618450/2

Therefore the LCM of Fractions 1050/814,3534/4636 is 309225

Greatest Common Factor of 814,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,4636 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 814,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4636 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 1050/814, 3534/4636

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 1050/814, 3534/4636?

Answer: LCM of Numerators as per given numbers 1050/814, 3534/4636 is

LCM of Numerators i.e. for 1050,3534 is 618450

GCF of denominators i.e. for 814,4636 is 2.

Thus, LCM of Fractions is 309225.Finally, LCM of Fractions for 1050/814, 3534/4636 is 309225.