Least Common Multiple of 175/214, 6898/1490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/214, 6898/1490 quickly i.e. 603575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/214, 6898/1490 is 603575.

LCM(175/214, 6898/1490) = 603575

LCM of 175/214, 6898/1490

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 175/214,6898/1490

Given numbers are 175/214,6898/1490

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 175,6898

Least Common Multiple of Numerators i.e. LCM of 175,6898 is 1207150.

GCF of Denominators means GCF of 214,1490 as per the given fractions.

GCF of 214,1490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,6898

LCM of Fractions 175/214,6898/1490 is 603575

Given numbers has no common factors except 1. So, there LCM is their product i.e 1207150

Least Common Multiple of 175,6898 with GCF Formula

Least Common Multiple of 175,6898 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 175,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,6898) = 1

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

GCF(175,6898) x common factors =1 x 1 = 1

LCM(175,6898) = ( 175 × 6898 ) / 1

LCM(175,6898) = 1207150 / 1

LCM(175,6898) = 1207150


Lets's calculate GCF of 214,1490

2 214, 1490
107, 745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1207150/2

Therefore the LCM of Fractions 175/214,6898/1490 is 603575

Greatest Common Factor of 214,1490 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,1490 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 1490

List of positive integer factors of 1490 that divides 1490 without a remainder.

1,2,5,10,149,298,745,1490

Greatest Common Factor

We found the factors 214,1490 . The biggest common factor number is the GCF number.
So the greatest common factor 214,1490 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 175/214, 6898/1490

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 175/214, 6898/1490?

Answer: LCM of Numerators as per given numbers 175/214, 6898/1490 is

LCM of Numerators i.e. for 175,6898 is 1207150

GCF of denominators i.e. for 214,1490 is 2.

Thus, LCM of Fractions is 603575.Finally, LCM of Fractions for 175/214, 6898/1490 is 603575.