Least Common Multiple of 25/776, 120/594, 571/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/776, 120/594, 571/352 quickly i.e. 171300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/776, 120/594, 571/352 is 171300.

LCM(25/776, 120/594, 571/352) = 171300

LCM of 25/776, 120/594, 571/352

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 25/776,120/594,571/352

Given numbers are 25/776,120/594,571/352

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 25,120,571

Least Common Multiple of Numerators i.e. LCM of 25,120,571 is 342600.

GCF of Denominators means GCF of 776,594,352 as per the given fractions.

GCF of 776,594,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,120,571

LCM of Fractions 25/776,120/594,571/352 is 171300

5 25, 120, 571
5, 24, 571

∴ So the LCM of the given numbers is 5 x 5 x 24 x 571 = 342600

Least Common Multiple of 25,120,571 with GCF Formula

Least Common Multiple of 25,120,571 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 25,120,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,120,571) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,120,571) x common factors =1 x 5 = 5

LCM(25,120,571) = ( 25 × 120 × 571 ) / 5

LCM(25,120,571) = 1713000 / 5

LCM(25,120,571) = 342600


Lets's calculate GCF of 776,594,352

2 776, 594, 352
388, 297, 176

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342600/2

Therefore the LCM of Fractions 25/776,120/594,571/352 is 171300

Greatest Common Factor of 776,594,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,594,352 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 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 776,594,352 . The biggest common factor number is the GCF number.
So the greatest common factor 776,594,352 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 25/776, 120/594, 571/352

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 25/776, 120/594, 571/352?

Answer: LCM of Numerators as per given numbers 25/776, 120/594, 571/352 is

LCM of Numerators i.e. for 25,120,571 is 342600

GCF of denominators i.e. for 776,594,352 is 2.

Thus, LCM of Fractions is 171300.Finally, LCM of Fractions for 25/776, 120/594, 571/352 is 171300.