Least Common Multiple of 30/887, 830/197, 303/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 30/887, 830/197, 303/770 quickly i.e. 251490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/887, 830/197, 303/770 is 251490.

LCM(30/887, 830/197, 303/770) = 251490

LCM of 30/887, 830/197, 303/770

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 30/887,830/197,303/770

Given numbers are 30/887,830/197,303/770

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 30,830,303

Least Common Multiple of Numerators i.e. LCM of 30,830,303 is 251490.

GCF of Denominators means GCF of 887,197,770 as per the given fractions.

GCF of 887,197,770 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,830,303

LCM of Fractions 30/887,830/197,303/770 is 251490

2 30, 830, 303
3 15, 415, 303
5 5, 415, 101
1, 83, 101

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 83 x 101 = 251490

Least Common Multiple of 30,830,303 with GCF Formula

Least Common Multiple of 30,830,303 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 30,830,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,830,303) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,830,303) x common factors =1 x 30 = 30

LCM(30,830,303) = ( 30 × 830 × 303 ) / 30

LCM(30,830,303) = 7544700 / 30

LCM(30,830,303) = 251490


Lets's calculate GCF of 887,197,770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251490/1

Therefore the LCM of Fractions 30/887,830/197,303/770 is 251490

Greatest Common Factor of 887,197,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,197,770 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 887,197,770 . The biggest common factor number is the GCF number.
So the greatest common factor 887,197,770 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 30/887, 830/197, 303/770

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 30/887, 830/197, 303/770?

Answer: LCM of Numerators as per given numbers 30/887, 830/197, 303/770 is

LCM of Numerators i.e. for 30,830,303 is 251490

GCF of denominators i.e. for 887,197,770 is 1.

Thus, LCM of Fractions is 251490.Finally, LCM of Fractions for 30/887, 830/197, 303/770 is 251490.