Least Common Multiple of 1750/214, 6517/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1750/214, 6517/386 quickly i.e. 814625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1750/214, 6517/386 is 814625.

LCM(1750/214, 6517/386) = 814625

LCM of 1750/214, 6517/386

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 1750/214,6517/386

Given numbers are 1750/214,6517/386

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 1750,6517

Least Common Multiple of Numerators i.e. LCM of 1750,6517 is 1629250.

GCF of Denominators means GCF of 214,386 as per the given fractions.

GCF of 214,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1750,6517

LCM of Fractions 1750/214,6517/386 is 814625

7 1750, 6517
250, 931

∴ So the LCM of the given numbers is 7 x 250 x 931 = 1629250

Least Common Multiple of 1750,6517 with GCF Formula

Least Common Multiple of 1750,6517 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 1750,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1750,6517) = 7

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

GCF(1750,6517) x common factors =7 x 1 = 7

LCM(1750,6517) = ( 1750 × 6517 ) / 7

LCM(1750,6517) = 11404750 / 7

LCM(1750,6517) = 1629250


Lets's calculate GCF of 214,386

2 214, 386
107, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1629250/2

Therefore the LCM of Fractions 1750/214,6517/386 is 814625

Greatest Common Factor of 214,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,386 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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 214,386 . The biggest common factor number is the GCF number.
So the greatest common factor 214,386 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 1750/214, 6517/386

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 1750/214, 6517/386?

Answer: LCM of Numerators as per given numbers 1750/214, 6517/386 is

LCM of Numerators i.e. for 1750,6517 is 1629250

GCF of denominators i.e. for 214,386 is 2.

Thus, LCM of Fractions is 814625.Finally, LCM of Fractions for 1750/214, 6517/386 is 814625.