Least Common Multiple of 77/131, 242/526, 525/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/131, 242/526, 525/465 quickly i.e. 127050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/131, 242/526, 525/465 is 127050.

LCM(77/131, 242/526, 525/465) = 127050

LCM of 77/131, 242/526, 525/465

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 77/131,242/526,525/465

Given numbers are 77/131,242/526,525/465

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 77,242,525

Least Common Multiple of Numerators i.e. LCM of 77,242,525 is 127050.

GCF of Denominators means GCF of 131,526,465 as per the given fractions.

GCF of 131,526,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,242,525

LCM of Fractions 77/131,242/526,525/465 is 127050

7 77, 242, 525
11 11, 242, 75
1, 22, 75

∴ So the LCM of the given numbers is 7 x 11 x 1 x 22 x 75 = 127050

Least Common Multiple of 77,242,525 with GCF Formula

Least Common Multiple of 77,242,525 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 77,242,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,242,525) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(77,242,525) x common factors =1 x 77 = 77

LCM(77,242,525) = ( 77 × 242 × 525 ) / 77

LCM(77,242,525) = 9782850 / 77

LCM(77,242,525) = 127050


Lets's calculate GCF of 131,526,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127050/1

Therefore the LCM of Fractions 77/131,242/526,525/465 is 127050

Greatest Common Factor of 131,526,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,526,465 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 131,526,465 . The biggest common factor number is the GCF number.
So the greatest common factor 131,526,465 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/131, 242/526, 525/465

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 77/131, 242/526, 525/465?

Answer: LCM of Numerators as per given numbers 77/131, 242/526, 525/465 is

LCM of Numerators i.e. for 77,242,525 is 127050

GCF of denominators i.e. for 131,526,465 is 1.

Thus, LCM of Fractions is 127050.Finally, LCM of Fractions for 77/131, 242/526, 525/465 is 127050.