Least Common Multiple of 843/770, 2106/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/770, 2106/352 quickly i.e. 591786/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/770, 2106/352 is 591786/22.

LCM(843/770, 2106/352) = 591786/22

LCM of 843/770, 2106/352

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 843/770,2106/352

Given numbers are 843/770,2106/352

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 843,2106

Least Common Multiple of Numerators i.e. LCM of 843,2106 is 591786.

GCF of Denominators means GCF of 770,352 as per the given fractions.

GCF of 770,352 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,2106

LCM of Fractions 843/770,2106/352 is 591786/22

3 843, 2106
281, 702

∴ So the LCM of the given numbers is 3 x 281 x 702 = 591786

Least Common Multiple of 843,2106 with GCF Formula

Least Common Multiple of 843,2106 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 843,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,2106) = 3

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

GCF(843,2106) x common factors =3 x 1 = 3

LCM(843,2106) = ( 843 × 2106 ) / 3

LCM(843,2106) = 1775358 / 3

LCM(843,2106) = 591786


Lets's calculate GCF of 770,352

2 770, 352
11 385, 176
35, 16

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591786/22

Therefore the LCM of Fractions 843/770,2106/352 is 591786/22

Greatest Common Factor of 770,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,352 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 770,352 . The biggest common factor number is the GCF number.
So the greatest common factor 770,352 is 22.


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 843/770, 2106/352

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 843/770, 2106/352?

Answer: LCM of Numerators as per given numbers 843/770, 2106/352 is

LCM of Numerators i.e. for 843,2106 is 591786

GCF of denominators i.e. for 770,352 is 22.

Thus, LCM of Fractions is 591786/22.Finally, LCM of Fractions for 843/770, 2106/352 is 591786/22.