Least Common Multiple of 315/708, 885/207, 771/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/708, 885/207, 771/490 quickly i.e. 4776345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/708, 885/207, 771/490 is 4776345.

LCM(315/708, 885/207, 771/490) = 4776345

LCM of 315/708, 885/207, 771/490

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 315/708,885/207,771/490

Given numbers are 315/708,885/207,771/490

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 315,885,771

Least Common Multiple of Numerators i.e. LCM of 315,885,771 is 4776345.

GCF of Denominators means GCF of 708,207,490 as per the given fractions.

GCF of 708,207,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,885,771

LCM of Fractions 315/708,885/207,771/490 is 4776345

3 315, 885, 771
5 105, 295, 257
21, 59, 257

∴ So the LCM of the given numbers is 3 x 5 x 21 x 59 x 257 = 4776345

Least Common Multiple of 315,885,771 with GCF Formula

Least Common Multiple of 315,885,771 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 315,885,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,885,771) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(315,885,771) x common factors =3 x 15 = 45

LCM(315,885,771) = ( 315 × 885 × 771 ) / 45

LCM(315,885,771) = 214935525 / 45

LCM(315,885,771) = 4776345


Lets's calculate GCF of 708,207,490

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4776345/1

Therefore the LCM of Fractions 315/708,885/207,771/490 is 4776345

Greatest Common Factor of 708,207,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,207,490 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

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

Greatest Common Factor

We found the factors 708,207,490 . The biggest common factor number is the GCF number.
So the greatest common factor 708,207,490 is 1.


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 315/708, 885/207, 771/490

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 315/708, 885/207, 771/490?

Answer: LCM of Numerators as per given numbers 315/708, 885/207, 771/490 is

LCM of Numerators i.e. for 315,885,771 is 4776345

GCF of denominators i.e. for 708,207,490 is 1.

Thus, LCM of Fractions is 4776345.Finally, LCM of Fractions for 315/708, 885/207, 771/490 is 4776345.