Least Common Multiple of 896/98, 257/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 896/98, 257/630 quickly i.e. 16448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/98, 257/630 is 16448.

LCM(896/98, 257/630) = 16448

LCM of 896/98, 257/630

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 896/98,257/630

Given numbers are 896/98,257/630

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 896,257

Least Common Multiple of Numerators i.e. LCM of 896,257 is 230272.

GCF of Denominators means GCF of 98,630 as per the given fractions.

GCF of 98,630 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,257

LCM of Fractions 896/98,257/630 is 16448

Given numbers has no common factors except 1. So, there LCM is their product i.e 230272

Least Common Multiple of 896,257 with GCF Formula

Least Common Multiple of 896,257 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 896,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,257) = 1

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

GCF(896,257) x common factors =1 x 1 = 1

LCM(896,257) = ( 896 × 257 ) / 1

LCM(896,257) = 230272 / 1

LCM(896,257) = 230272


Lets's calculate GCF of 98,630

2 98, 630
7 49, 315
7, 45

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230272/14

Therefore the LCM of Fractions 896/98,257/630 is 16448

Greatest Common Factor of 98,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,630 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 98,630 . The biggest common factor number is the GCF number.
So the greatest common factor 98,630 is 14.


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 896/98, 257/630

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 896/98, 257/630?

Answer: LCM of Numerators as per given numbers 896/98, 257/630 is

LCM of Numerators i.e. for 896,257 is 230272

GCF of denominators i.e. for 98,630 is 14.

Thus, LCM of Fractions is 16448.Finally, LCM of Fractions for 896/98, 257/630 is 16448.