Least Common Multiple of 257/745, 688/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 257/745, 688/548 quickly i.e. 176816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/745, 688/548 is 176816.

LCM(257/745, 688/548) = 176816

LCM of 257/745, 688/548

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 257/745,688/548

Given numbers are 257/745,688/548

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 257,688

Least Common Multiple of Numerators i.e. LCM of 257,688 is 176816.

GCF of Denominators means GCF of 745,548 as per the given fractions.

GCF of 745,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,688

LCM of Fractions 257/745,688/548 is 176816

Given numbers has no common factors except 1. So, there LCM is their product i.e 176816

Least Common Multiple of 257,688 with GCF Formula

Least Common Multiple of 257,688 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 257,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,688) = 1

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

GCF(257,688) x common factors =1 x 1 = 1

LCM(257,688) = ( 257 × 688 ) / 1

LCM(257,688) = 176816 / 1

LCM(257,688) = 176816


Lets's calculate GCF of 745,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176816/1

Therefore the LCM of Fractions 257/745,688/548 is 176816

Greatest Common Factor of 745,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,548 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 745,548 . The biggest common factor number is the GCF number.
So the greatest common factor 745,548 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 257/745, 688/548

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 257/745, 688/548?

Answer: LCM of Numerators as per given numbers 257/745, 688/548 is

LCM of Numerators i.e. for 257,688 is 176816

GCF of denominators i.e. for 745,548 is 1.

Thus, LCM of Fractions is 176816.Finally, LCM of Fractions for 257/745, 688/548 is 176816.