Least Common Multiple of 3474/854, 5043/8460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3474/854, 5043/8460 quickly i.e. 2919897 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3474/854, 5043/8460 is 2919897.

LCM(3474/854, 5043/8460) = 2919897

LCM of 3474/854, 5043/8460

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 3474/854,5043/8460

Given numbers are 3474/854,5043/8460

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 3474,5043

Least Common Multiple of Numerators i.e. LCM of 3474,5043 is 5839794.

GCF of Denominators means GCF of 854,8460 as per the given fractions.

GCF of 854,8460 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3474,5043

LCM of Fractions 3474/854,5043/8460 is 2919897

3 3474, 5043
1158, 1681

∴ So the LCM of the given numbers is 3 x 1158 x 1681 = 5839794

Least Common Multiple of 3474,5043 with GCF Formula

Least Common Multiple of 3474,5043 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 3474,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3474,5043) = 3

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

GCF(3474,5043) x common factors =3 x 1 = 3

LCM(3474,5043) = ( 3474 × 5043 ) / 3

LCM(3474,5043) = 17519382 / 3

LCM(3474,5043) = 5839794


Lets's calculate GCF of 854,8460

2 854, 8460
427, 4230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5839794/2

Therefore the LCM of Fractions 3474/854,5043/8460 is 2919897

Greatest Common Factor of 854,8460 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,8460 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460

Greatest Common Factor

We found the factors 854,8460 . The biggest common factor number is the GCF number.
So the greatest common factor 854,8460 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 3474/854, 5043/8460

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 3474/854, 5043/8460?

Answer: LCM of Numerators as per given numbers 3474/854, 5043/8460 is

LCM of Numerators i.e. for 3474,5043 is 5839794

GCF of denominators i.e. for 854,8460 is 2.

Thus, LCM of Fractions is 2919897.Finally, LCM of Fractions for 3474/854, 5043/8460 is 2919897.