Least Common Multiple of 30/364, 688/451, 283/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/364, 688/451, 283/871 quickly i.e. 2920560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/364, 688/451, 283/871 is 2920560.

LCM(30/364, 688/451, 283/871) = 2920560

LCM of 30/364, 688/451, 283/871

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 30/364,688/451,283/871

Given numbers are 30/364,688/451,283/871

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 30,688,283

Least Common Multiple of Numerators i.e. LCM of 30,688,283 is 2920560.

GCF of Denominators means GCF of 364,451,871 as per the given fractions.

GCF of 364,451,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,688,283

LCM of Fractions 30/364,688/451,283/871 is 2920560

2 30, 688, 283
15, 344, 283

∴ So the LCM of the given numbers is 2 x 15 x 344 x 283 = 2920560

Least Common Multiple of 30,688,283 with GCF Formula

Least Common Multiple of 30,688,283 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 30,688,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,688,283) = 1

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

GCF(30,688,283) x common factors =1 x 2 = 2

LCM(30,688,283) = ( 30 × 688 × 283 ) / 2

LCM(30,688,283) = 5841120 / 2

LCM(30,688,283) = 2920560


Lets's calculate GCF of 364,451,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2920560/1

Therefore the LCM of Fractions 30/364,688/451,283/871 is 2920560

Greatest Common Factor of 364,451,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,451,871 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 364,451,871 . The biggest common factor number is the GCF number.
So the greatest common factor 364,451,871 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 30/364, 688/451, 283/871

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 30/364, 688/451, 283/871?

Answer: LCM of Numerators as per given numbers 30/364, 688/451, 283/871 is

LCM of Numerators i.e. for 30,688,283 is 2920560

GCF of denominators i.e. for 364,451,871 is 1.

Thus, LCM of Fractions is 2920560.Finally, LCM of Fractions for 30/364, 688/451, 283/871 is 2920560.