Least Common Multiple of 10/279, 530/308, 552/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/279, 530/308, 552/560 quickly i.e. 146280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/279, 530/308, 552/560 is 146280.

LCM(10/279, 530/308, 552/560) = 146280

LCM of 10/279, 530/308, 552/560

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 10/279,530/308,552/560

Given numbers are 10/279,530/308,552/560

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 10,530,552

Least Common Multiple of Numerators i.e. LCM of 10,530,552 is 146280.

GCF of Denominators means GCF of 279,308,560 as per the given fractions.

GCF of 279,308,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,530,552

LCM of Fractions 10/279,530/308,552/560 is 146280

2 10, 530, 552
5 5, 265, 276
1, 53, 276

∴ So the LCM of the given numbers is 2 x 5 x 1 x 53 x 276 = 146280

Least Common Multiple of 10,530,552 with GCF Formula

Least Common Multiple of 10,530,552 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 10,530,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,530,552) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(10,530,552) x common factors =2 x 10 = 20

LCM(10,530,552) = ( 10 × 530 × 552 ) / 20

LCM(10,530,552) = 2925600 / 20

LCM(10,530,552) = 146280


Lets's calculate GCF of 279,308,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146280/1

Therefore the LCM of Fractions 10/279,530/308,552/560 is 146280

Greatest Common Factor of 279,308,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,308,560 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 279,308,560 . The biggest common factor number is the GCF number.
So the greatest common factor 279,308,560 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 10/279, 530/308, 552/560

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 10/279, 530/308, 552/560?

Answer: LCM of Numerators as per given numbers 10/279, 530/308, 552/560 is

LCM of Numerators i.e. for 10,530,552 is 146280

GCF of denominators i.e. for 279,308,560 is 1.

Thus, LCM of Fractions is 146280.Finally, LCM of Fractions for 10/279, 530/308, 552/560 is 146280.