Least Common Multiple of 210/898, 774/802, 546/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/898, 774/802, 546/838 quickly i.e. 176085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/898, 774/802, 546/838 is 176085.

LCM(210/898, 774/802, 546/838) = 176085

LCM of 210/898, 774/802, 546/838

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 210/898,774/802,546/838

Given numbers are 210/898,774/802,546/838

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 210,774,546

Least Common Multiple of Numerators i.e. LCM of 210,774,546 is 352170.

GCF of Denominators means GCF of 898,802,838 as per the given fractions.

GCF of 898,802,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,774,546

LCM of Fractions 210/898,774/802,546/838 is 176085

2 210, 774, 546
3 105, 387, 273
7 35, 129, 91
5, 129, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 129 x 13 = 352170

Least Common Multiple of 210,774,546 with GCF Formula

Least Common Multiple of 210,774,546 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 210,774,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,774,546) = 6

common factors(in case of two or more numbers have common factors) = 42

GCF(210,774,546) x common factors =6 x 42 = 252

LCM(210,774,546) = ( 210 × 774 × 546 ) / 252

LCM(210,774,546) = 88746840 / 252

LCM(210,774,546) = 352170


Lets's calculate GCF of 898,802,838

2 898, 802, 838
449, 401, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352170/2

Therefore the LCM of Fractions 210/898,774/802,546/838 is 176085

Greatest Common Factor of 898,802,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,802,838 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 898,802,838 . The biggest common factor number is the GCF number.
So the greatest common factor 898,802,838 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 210/898, 774/802, 546/838

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 210/898, 774/802, 546/838?

Answer: LCM of Numerators as per given numbers 210/898, 774/802, 546/838 is

LCM of Numerators i.e. for 210,774,546 is 352170

GCF of denominators i.e. for 898,802,838 is 2.

Thus, LCM of Fractions is 176085.Finally, LCM of Fractions for 210/898, 774/802, 546/838 is 176085.