Least Common Multiple of 87/303, 870/433, 346/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/303, 870/433, 346/619 quickly i.e. 150510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/303, 870/433, 346/619 is 150510.

LCM(87/303, 870/433, 346/619) = 150510

LCM of 87/303, 870/433, 346/619

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 87/303,870/433,346/619

Given numbers are 87/303,870/433,346/619

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 87,870,346

Least Common Multiple of Numerators i.e. LCM of 87,870,346 is 150510.

GCF of Denominators means GCF of 303,433,619 as per the given fractions.

GCF of 303,433,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,870,346

LCM of Fractions 87/303,870/433,346/619 is 150510

2 87, 870, 346
3 87, 435, 173
29 29, 145, 173
1, 5, 173

∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 5 x 173 = 150510

Least Common Multiple of 87,870,346 with GCF Formula

Least Common Multiple of 87,870,346 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 87,870,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,870,346) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(87,870,346) x common factors =1 x 174 = 174

LCM(87,870,346) = ( 87 × 870 × 346 ) / 174

LCM(87,870,346) = 26188740 / 174

LCM(87,870,346) = 150510


Lets's calculate GCF of 303,433,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150510/1

Therefore the LCM of Fractions 87/303,870/433,346/619 is 150510

Greatest Common Factor of 303,433,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,433,619 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 303,433,619 . The biggest common factor number is the GCF number.
So the greatest common factor 303,433,619 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 87/303, 870/433, 346/619

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 87/303, 870/433, 346/619?

Answer: LCM of Numerators as per given numbers 87/303, 870/433, 346/619 is

LCM of Numerators i.e. for 87,870,346 is 150510

GCF of denominators i.e. for 303,433,619 is 1.

Thus, LCM of Fractions is 150510.Finally, LCM of Fractions for 87/303, 870/433, 346/619 is 150510.