Least Common Multiple of 72/776, 228/295, 509/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/776, 228/295, 509/590 quickly i.e. 696312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/776, 228/295, 509/590 is 696312.

LCM(72/776, 228/295, 509/590) = 696312

LCM of 72/776, 228/295, 509/590

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 72/776,228/295,509/590

Given numbers are 72/776,228/295,509/590

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 72,228,509

Least Common Multiple of Numerators i.e. LCM of 72,228,509 is 696312.

GCF of Denominators means GCF of 776,295,590 as per the given fractions.

GCF of 776,295,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,228,509

LCM of Fractions 72/776,228/295,509/590 is 696312

2 72, 228, 509
2 36, 114, 509
3 18, 57, 509
6, 19, 509

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 19 x 509 = 696312

Least Common Multiple of 72,228,509 with GCF Formula

Least Common Multiple of 72,228,509 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 72,228,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,228,509) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(72,228,509) x common factors =1 x 12 = 12

LCM(72,228,509) = ( 72 × 228 × 509 ) / 12

LCM(72,228,509) = 8355744 / 12

LCM(72,228,509) = 696312


Lets's calculate GCF of 776,295,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696312/1

Therefore the LCM of Fractions 72/776,228/295,509/590 is 696312

Greatest Common Factor of 776,295,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,295,590 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 776,295,590 . The biggest common factor number is the GCF number.
So the greatest common factor 776,295,590 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 72/776, 228/295, 509/590

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 72/776, 228/295, 509/590?

Answer: LCM of Numerators as per given numbers 72/776, 228/295, 509/590 is

LCM of Numerators i.e. for 72,228,509 is 696312

GCF of denominators i.e. for 776,295,590 is 1.

Thus, LCM of Fractions is 696312.Finally, LCM of Fractions for 72/776, 228/295, 509/590 is 696312.