Least Common Multiple of 849/469, 5880/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/469, 5880/910 quickly i.e. 237720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/469, 5880/910 is 237720.

LCM(849/469, 5880/910) = 237720

LCM of 849/469, 5880/910

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 849/469,5880/910

Given numbers are 849/469,5880/910

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 849,5880

Least Common Multiple of Numerators i.e. LCM of 849,5880 is 1664040.

GCF of Denominators means GCF of 469,910 as per the given fractions.

GCF of 469,910 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,5880

LCM of Fractions 849/469,5880/910 is 237720

3 849, 5880
283, 1960

∴ So the LCM of the given numbers is 3 x 283 x 1960 = 1664040

Least Common Multiple of 849,5880 with GCF Formula

Least Common Multiple of 849,5880 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 849,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,5880) = 3

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

GCF(849,5880) x common factors =3 x 1 = 3

LCM(849,5880) = ( 849 × 5880 ) / 3

LCM(849,5880) = 4992120 / 3

LCM(849,5880) = 1664040


Lets's calculate GCF of 469,910

7 469, 910
67, 130

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1664040/7

Therefore the LCM of Fractions 849/469,5880/910 is 237720

Greatest Common Factor of 469,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,910 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 469,910 . The biggest common factor number is the GCF number.
So the greatest common factor 469,910 is 7.


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 849/469, 5880/910

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 849/469, 5880/910?

Answer: LCM of Numerators as per given numbers 849/469, 5880/910 is

LCM of Numerators i.e. for 849,5880 is 1664040

GCF of denominators i.e. for 469,910 is 7.

Thus, LCM of Fractions is 237720.Finally, LCM of Fractions for 849/469, 5880/910 is 237720.