Least Common Multiple of 814/210, 4252/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 814/210, 4252/386 quickly i.e. 865282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/210, 4252/386 is 865282.

LCM(814/210, 4252/386) = 865282

LCM of 814/210, 4252/386

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 814/210,4252/386

Given numbers are 814/210,4252/386

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 814,4252

Least Common Multiple of Numerators i.e. LCM of 814,4252 is 1730564.

GCF of Denominators means GCF of 210,386 as per the given fractions.

GCF of 210,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,4252

LCM of Fractions 814/210,4252/386 is 865282

2 814, 4252
407, 2126

∴ So the LCM of the given numbers is 2 x 407 x 2126 = 1730564

Least Common Multiple of 814,4252 with GCF Formula

Least Common Multiple of 814,4252 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 814,4252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,4252) = 2

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

GCF(814,4252) x common factors =2 x 1 = 2

LCM(814,4252) = ( 814 × 4252 ) / 2

LCM(814,4252) = 3461128 / 2

LCM(814,4252) = 1730564


Lets's calculate GCF of 210,386

2 210, 386
105, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1730564/2

Therefore the LCM of Fractions 814/210,4252/386 is 865282

Greatest Common Factor of 210,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,386 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

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 210,386 . The biggest common factor number is the GCF number.
So the greatest common factor 210,386 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 814/210, 4252/386

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 814/210, 4252/386?

Answer: LCM of Numerators as per given numbers 814/210, 4252/386 is

LCM of Numerators i.e. for 814,4252 is 1730564

GCF of denominators i.e. for 210,386 is 2.

Thus, LCM of Fractions is 865282.Finally, LCM of Fractions for 814/210, 4252/386 is 865282.