Least Common Multiple of 525/426, 379/152, 870/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 525/426, 379/152, 870/401 quickly i.e. 11540550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 525/426, 379/152, 870/401 is 11540550.

LCM(525/426, 379/152, 870/401) = 11540550

LCM of 525/426, 379/152, 870/401

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 525/426,379/152,870/401

Given numbers are 525/426,379/152,870/401

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 525,379,870

Least Common Multiple of Numerators i.e. LCM of 525,379,870 is 11540550.

GCF of Denominators means GCF of 426,152,401 as per the given fractions.

GCF of 426,152,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 525,379,870

LCM of Fractions 525/426,379/152,870/401 is 11540550

3 525, 379, 870
5 175, 379, 290
35, 379, 58

∴ So the LCM of the given numbers is 3 x 5 x 35 x 379 x 58 = 11540550

Least Common Multiple of 525,379,870 with GCF Formula

Least Common Multiple of 525,379,870 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 525,379,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,379,870) = 1

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

GCF(525,379,870) x common factors =1 x 15 = 15

LCM(525,379,870) = ( 525 × 379 × 870 ) / 15

LCM(525,379,870) = 173108250 / 15

LCM(525,379,870) = 11540550


Lets's calculate GCF of 426,152,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11540550/1

Therefore the LCM of Fractions 525/426,379/152,870/401 is 11540550

Greatest Common Factor of 426,152,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,152,401 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 426,152,401 . The biggest common factor number is the GCF number.
So the greatest common factor 426,152,401 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 525/426, 379/152, 870/401

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 525/426, 379/152, 870/401?

Answer: LCM of Numerators as per given numbers 525/426, 379/152, 870/401 is

LCM of Numerators i.e. for 525,379,870 is 11540550

GCF of denominators i.e. for 426,152,401 is 1.

Thus, LCM of Fractions is 11540550.Finally, LCM of Fractions for 525/426, 379/152, 870/401 is 11540550.