Least Common Multiple of 34/210, 63/875, 825/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/210, 63/875, 825/514 quickly i.e. 589050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/210, 63/875, 825/514 is 589050.

LCM(34/210, 63/875, 825/514) = 589050

LCM of 34/210, 63/875, 825/514

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 34/210,63/875,825/514

Given numbers are 34/210,63/875,825/514

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 34,63,825

Least Common Multiple of Numerators i.e. LCM of 34,63,825 is 589050.

GCF of Denominators means GCF of 210,875,514 as per the given fractions.

GCF of 210,875,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,63,825

LCM of Fractions 34/210,63/875,825/514 is 589050

3 34, 63, 825
34, 21, 275

∴ So the LCM of the given numbers is 3 x 34 x 21 x 275 = 589050

Least Common Multiple of 34,63,825 with GCF Formula

Least Common Multiple of 34,63,825 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 34,63,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,63,825) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(34,63,825) x common factors =1 x 3 = 3

LCM(34,63,825) = ( 34 × 63 × 825 ) / 3

LCM(34,63,825) = 1767150 / 3

LCM(34,63,825) = 589050


Lets's calculate GCF of 210,875,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589050/1

Therefore the LCM of Fractions 34/210,63/875,825/514 is 589050

Greatest Common Factor of 210,875,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,875,514 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 210,875,514 . The biggest common factor number is the GCF number.
So the greatest common factor 210,875,514 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 34/210, 63/875, 825/514

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 34/210, 63/875, 825/514?

Answer: LCM of Numerators as per given numbers 34/210, 63/875, 825/514 is

LCM of Numerators i.e. for 34,63,825 is 589050

GCF of denominators i.e. for 210,875,514 is 1.

Thus, LCM of Fractions is 589050.Finally, LCM of Fractions for 34/210, 63/875, 825/514 is 589050.