Least Common Multiple of 257/735, 870/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/735, 870/198 quickly i.e. 74530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/735, 870/198 is 74530.

LCM(257/735, 870/198) = 74530

LCM of 257/735, 870/198

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 257/735,870/198

Given numbers are 257/735,870/198

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 257,870

Least Common Multiple of Numerators i.e. LCM of 257,870 is 223590.

GCF of Denominators means GCF of 735,198 as per the given fractions.

GCF of 735,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,870

LCM of Fractions 257/735,870/198 is 74530

Given numbers has no common factors except 1. So, there LCM is their product i.e 223590

Least Common Multiple of 257,870 with GCF Formula

Least Common Multiple of 257,870 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 257,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,870) = 1

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

GCF(257,870) x common factors =1 x 1 = 1

LCM(257,870) = ( 257 × 870 ) / 1

LCM(257,870) = 223590 / 1

LCM(257,870) = 223590


Lets's calculate GCF of 735,198

3 735, 198
245, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223590/3

Therefore the LCM of Fractions 257/735,870/198 is 74530

Greatest Common Factor of 735,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,198 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 735,198 . The biggest common factor number is the GCF number.
So the greatest common factor 735,198 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 257/735, 870/198

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 257/735, 870/198?

Answer: LCM of Numerators as per given numbers 257/735, 870/198 is

LCM of Numerators i.e. for 257,870 is 223590

GCF of denominators i.e. for 735,198 is 3.

Thus, LCM of Fractions is 74530.Finally, LCM of Fractions for 257/735, 870/198 is 74530.