Least Common Multiple of 534/490, 807/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/490, 807/214 quickly i.e. 71823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/490, 807/214 is 71823.

LCM(534/490, 807/214) = 71823

LCM of 534/490, 807/214

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 534/490,807/214

Given numbers are 534/490,807/214

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 534,807

Least Common Multiple of Numerators i.e. LCM of 534,807 is 143646.

GCF of Denominators means GCF of 490,214 as per the given fractions.

GCF of 490,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,807

LCM of Fractions 534/490,807/214 is 71823

3 534, 807
178, 269

∴ So the LCM of the given numbers is 3 x 178 x 269 = 143646

Least Common Multiple of 534,807 with GCF Formula

Least Common Multiple of 534,807 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 534,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,807) = 3

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

GCF(534,807) x common factors =3 x 1 = 3

LCM(534,807) = ( 534 × 807 ) / 3

LCM(534,807) = 430938 / 3

LCM(534,807) = 143646


Lets's calculate GCF of 490,214

2 490, 214
245, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143646/2

Therefore the LCM of Fractions 534/490,807/214 is 71823

Greatest Common Factor of 490,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,214 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 214

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

1,2,107,214

Greatest Common Factor

We found the factors 490,214 . The biggest common factor number is the GCF number.
So the greatest common factor 490,214 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 534/490, 807/214

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 534/490, 807/214?

Answer: LCM of Numerators as per given numbers 534/490, 807/214 is

LCM of Numerators i.e. for 534,807 is 143646

GCF of denominators i.e. for 490,214 is 2.

Thus, LCM of Fractions is 71823.Finally, LCM of Fractions for 534/490, 807/214 is 71823.