Least Common Multiple of 485/25, 949/85, 370/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/25, 949/85, 370/755 quickly i.e. 6811922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/25, 949/85, 370/755 is 6811922.

LCM(485/25, 949/85, 370/755) = 6811922

LCM of 485/25, 949/85, 370/755

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 485/25,949/85,370/755

Given numbers are 485/25,949/85,370/755

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 485,949,370

Least Common Multiple of Numerators i.e. LCM of 485,949,370 is 34059610.

GCF of Denominators means GCF of 25,85,755 as per the given fractions.

GCF of 25,85,755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,949,370

LCM of Fractions 485/25,949/85,370/755 is 6811922

5 485, 949, 370
97, 949, 74

∴ So the LCM of the given numbers is 5 x 97 x 949 x 74 = 34059610

Least Common Multiple of 485,949,370 with GCF Formula

Least Common Multiple of 485,949,370 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 485,949,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,949,370) = 1

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

GCF(485,949,370) x common factors =1 x 5 = 5

LCM(485,949,370) = ( 485 × 949 × 370 ) / 5

LCM(485,949,370) = 170298050 / 5

LCM(485,949,370) = 34059610


Lets's calculate GCF of 25,85,755

5 25, 85, 755
5, 17, 151

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34059610/5

Therefore the LCM of Fractions 485/25,949/85,370/755 is 6811922

Greatest Common Factor of 25,85,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,85,755 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 25,85,755 . The biggest common factor number is the GCF number.
So the greatest common factor 25,85,755 is 5.


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 485/25, 949/85, 370/755

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 485/25, 949/85, 370/755?

Answer: LCM of Numerators as per given numbers 485/25, 949/85, 370/755 is

LCM of Numerators i.e. for 485,949,370 is 34059610

GCF of denominators i.e. for 25,85,755 is 5.

Thus, LCM of Fractions is 6811922.Finally, LCM of Fractions for 485/25, 949/85, 370/755 is 6811922.