Least Common Multiple of 84/526, 207/679, 628/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/526, 207/679, 628/894 quickly i.e. 909972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/526, 207/679, 628/894 is 909972.

LCM(84/526, 207/679, 628/894) = 909972

LCM of 84/526, 207/679, 628/894

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 84/526,207/679,628/894

Given numbers are 84/526,207/679,628/894

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 84,207,628

Least Common Multiple of Numerators i.e. LCM of 84,207,628 is 909972.

GCF of Denominators means GCF of 526,679,894 as per the given fractions.

GCF of 526,679,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,207,628

LCM of Fractions 84/526,207/679,628/894 is 909972

2 84, 207, 628
2 42, 207, 314
3 21, 207, 157
7, 69, 157

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 69 x 157 = 909972

Least Common Multiple of 84,207,628 with GCF Formula

Least Common Multiple of 84,207,628 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 84,207,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,207,628) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,207,628) x common factors =1 x 12 = 12

LCM(84,207,628) = ( 84 × 207 × 628 ) / 12

LCM(84,207,628) = 10919664 / 12

LCM(84,207,628) = 909972


Lets's calculate GCF of 526,679,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909972/1

Therefore the LCM of Fractions 84/526,207/679,628/894 is 909972

Greatest Common Factor of 526,679,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,679,894 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 526,679,894 . The biggest common factor number is the GCF number.
So the greatest common factor 526,679,894 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 84/526, 207/679, 628/894

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 84/526, 207/679, 628/894?

Answer: LCM of Numerators as per given numbers 84/526, 207/679, 628/894 is

LCM of Numerators i.e. for 84,207,628 is 909972

GCF of denominators i.e. for 526,679,894 is 1.

Thus, LCM of Fractions is 909972.Finally, LCM of Fractions for 84/526, 207/679, 628/894 is 909972.