Least Common Multiple of 553/210, 257/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/210, 257/759 quickly i.e. 142121/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/210, 257/759 is 142121/3.

LCM(553/210, 257/759) = 142121/3

LCM of 553/210, 257/759

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 553/210,257/759

Given numbers are 553/210,257/759

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 553,257

Least Common Multiple of Numerators i.e. LCM of 553,257 is 142121.

GCF of Denominators means GCF of 210,759 as per the given fractions.

GCF of 210,759 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,257

LCM of Fractions 553/210,257/759 is 142121/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 142121

Least Common Multiple of 553,257 with GCF Formula

Least Common Multiple of 553,257 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 553,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,257) = 1

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

GCF(553,257) x common factors =1 x 1 = 1

LCM(553,257) = ( 553 × 257 ) / 1

LCM(553,257) = 142121 / 1

LCM(553,257) = 142121


Lets's calculate GCF of 210,759

3 210, 759
70, 253

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142121/3

Therefore the LCM of Fractions 553/210,257/759 is 142121/3

Greatest Common Factor of 210,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,759 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 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 210,759 . The biggest common factor number is the GCF number.
So the greatest common factor 210,759 is 3.


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 553/210, 257/759

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 553/210, 257/759?

Answer: LCM of Numerators as per given numbers 553/210, 257/759 is

LCM of Numerators i.e. for 553,257 is 142121

GCF of denominators i.e. for 210,759 is 3.

Thus, LCM of Fractions is 142121/3.Finally, LCM of Fractions for 553/210, 257/759 is 142121/3.