Least Common Multiple of 51/475, 70/913, 680/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/475, 70/913, 680/248 quickly i.e. 14280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/475, 70/913, 680/248 is 14280.

LCM(51/475, 70/913, 680/248) = 14280

LCM of 51/475, 70/913, 680/248

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 51/475,70/913,680/248

Given numbers are 51/475,70/913,680/248

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 51,70,680

Least Common Multiple of Numerators i.e. LCM of 51,70,680 is 14280.

GCF of Denominators means GCF of 475,913,248 as per the given fractions.

GCF of 475,913,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,70,680

LCM of Fractions 51/475,70/913,680/248 is 14280

2 51, 70, 680
5 51, 35, 340
17 51, 7, 68
3, 7, 4

∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 7 x 4 = 14280

Least Common Multiple of 51,70,680 with GCF Formula

Least Common Multiple of 51,70,680 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 51,70,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,70,680) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(51,70,680) x common factors =1 x 170 = 170

LCM(51,70,680) = ( 51 × 70 × 680 ) / 170

LCM(51,70,680) = 2427600 / 170

LCM(51,70,680) = 14280


Lets's calculate GCF of 475,913,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14280/1

Therefore the LCM of Fractions 51/475,70/913,680/248 is 14280

Greatest Common Factor of 475,913,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,913,248 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 475,913,248 . The biggest common factor number is the GCF number.
So the greatest common factor 475,913,248 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 51/475, 70/913, 680/248

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 51/475, 70/913, 680/248?

Answer: LCM of Numerators as per given numbers 51/475, 70/913, 680/248 is

LCM of Numerators i.e. for 51,70,680 is 14280

GCF of denominators i.e. for 475,913,248 is 1.

Thus, LCM of Fractions is 14280.Finally, LCM of Fractions for 51/475, 70/913, 680/248 is 14280.