Least Common Multiple of 395/946, 597/723, 870/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 395/946, 597/723, 870/245 quickly i.e. 13677270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 395/946, 597/723, 870/245 is 13677270.

LCM(395/946, 597/723, 870/245) = 13677270

LCM of 395/946, 597/723, 870/245

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 395/946,597/723,870/245

Given numbers are 395/946,597/723,870/245

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 395,597,870

Least Common Multiple of Numerators i.e. LCM of 395,597,870 is 13677270.

GCF of Denominators means GCF of 946,723,245 as per the given fractions.

GCF of 946,723,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 395,597,870

LCM of Fractions 395/946,597/723,870/245 is 13677270

3 395, 597, 870
5 395, 199, 290
79, 199, 58

∴ So the LCM of the given numbers is 3 x 5 x 79 x 199 x 58 = 13677270

Least Common Multiple of 395,597,870 with GCF Formula

Least Common Multiple of 395,597,870 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 395,597,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,597,870) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(395,597,870) x common factors =1 x 15 = 15

LCM(395,597,870) = ( 395 × 597 × 870 ) / 15

LCM(395,597,870) = 205159050 / 15

LCM(395,597,870) = 13677270


Lets's calculate GCF of 946,723,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13677270/1

Therefore the LCM of Fractions 395/946,597/723,870/245 is 13677270

Greatest Common Factor of 946,723,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,723,245 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 946,723,245 . The biggest common factor number is the GCF number.
So the greatest common factor 946,723,245 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 395/946, 597/723, 870/245

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 395/946, 597/723, 870/245?

Answer: LCM of Numerators as per given numbers 395/946, 597/723, 870/245 is

LCM of Numerators i.e. for 395,597,870 is 13677270

GCF of denominators i.e. for 946,723,245 is 1.

Thus, LCM of Fractions is 13677270.Finally, LCM of Fractions for 395/946, 597/723, 870/245 is 13677270.