Least Common Multiple of 616/667, 622/101, 528/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/667, 622/101, 528/414 quickly i.e. 1149456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/667, 622/101, 528/414 is 1149456.

LCM(616/667, 622/101, 528/414) = 1149456

LCM of 616/667, 622/101, 528/414

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 616/667,622/101,528/414

Given numbers are 616/667,622/101,528/414

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 616,622,528

Least Common Multiple of Numerators i.e. LCM of 616,622,528 is 1149456.

GCF of Denominators means GCF of 667,101,414 as per the given fractions.

GCF of 667,101,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,622,528

LCM of Fractions 616/667,622/101,528/414 is 1149456

2 616, 622, 528
2 308, 311, 264
2 154, 311, 132
11 77, 311, 66
7, 311, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 311 x 6 = 1149456

Least Common Multiple of 616,622,528 with GCF Formula

Least Common Multiple of 616,622,528 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 616,622,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,622,528) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(616,622,528) x common factors =2 x 88 = 176

LCM(616,622,528) = ( 616 × 622 × 528 ) / 176

LCM(616,622,528) = 202304256 / 176

LCM(616,622,528) = 1149456


Lets's calculate GCF of 667,101,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1149456/1

Therefore the LCM of Fractions 616/667,622/101,528/414 is 1149456

Greatest Common Factor of 667,101,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,101,414 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 667,101,414 . The biggest common factor number is the GCF number.
So the greatest common factor 667,101,414 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 616/667, 622/101, 528/414

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 616/667, 622/101, 528/414?

Answer: LCM of Numerators as per given numbers 616/667, 622/101, 528/414 is

LCM of Numerators i.e. for 616,622,528 is 1149456

GCF of denominators i.e. for 667,101,414 is 1.

Thus, LCM of Fractions is 1149456.Finally, LCM of Fractions for 616/667, 622/101, 528/414 is 1149456.