Least Common Multiple of 22/525, 257/628, 354/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/525, 257/628, 354/388 quickly i.e. 1000758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/525, 257/628, 354/388 is 1000758.

LCM(22/525, 257/628, 354/388) = 1000758

LCM of 22/525, 257/628, 354/388

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 22/525,257/628,354/388

Given numbers are 22/525,257/628,354/388

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 22,257,354

Least Common Multiple of Numerators i.e. LCM of 22,257,354 is 1000758.

GCF of Denominators means GCF of 525,628,388 as per the given fractions.

GCF of 525,628,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,257,354

LCM of Fractions 22/525,257/628,354/388 is 1000758

2 22, 257, 354
11, 257, 177

∴ So the LCM of the given numbers is 2 x 11 x 257 x 177 = 1000758

Least Common Multiple of 22,257,354 with GCF Formula

Least Common Multiple of 22,257,354 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 22,257,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,257,354) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,257,354) x common factors =1 x 2 = 2

LCM(22,257,354) = ( 22 × 257 × 354 ) / 2

LCM(22,257,354) = 2001516 / 2

LCM(22,257,354) = 1000758


Lets's calculate GCF of 525,628,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1000758/1

Therefore the LCM of Fractions 22/525,257/628,354/388 is 1000758

Greatest Common Factor of 525,628,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,628,388 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 525,628,388 . The biggest common factor number is the GCF number.
So the greatest common factor 525,628,388 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/525, 257/628, 354/388

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 22/525, 257/628, 354/388?

Answer: LCM of Numerators as per given numbers 22/525, 257/628, 354/388 is

LCM of Numerators i.e. for 22,257,354 is 1000758

GCF of denominators i.e. for 525,628,388 is 1.

Thus, LCM of Fractions is 1000758.Finally, LCM of Fractions for 22/525, 257/628, 354/388 is 1000758.