Least Common Multiple of 822/695, 848/870, 164/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/695, 848/870, 164/714 quickly i.e. 14289648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/695, 848/870, 164/714 is 14289648.

LCM(822/695, 848/870, 164/714) = 14289648

LCM of 822/695, 848/870, 164/714

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 822/695,848/870,164/714

Given numbers are 822/695,848/870,164/714

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 822,848,164

Least Common Multiple of Numerators i.e. LCM of 822,848,164 is 14289648.

GCF of Denominators means GCF of 695,870,714 as per the given fractions.

GCF of 695,870,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,848,164

LCM of Fractions 822/695,848/870,164/714 is 14289648

2 822, 848, 164
2 411, 424, 82
411, 212, 41

∴ So the LCM of the given numbers is 2 x 2 x 411 x 212 x 41 = 14289648

Least Common Multiple of 822,848,164 with GCF Formula

Least Common Multiple of 822,848,164 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 822,848,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,848,164) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(822,848,164) x common factors =2 x 4 = 8

LCM(822,848,164) = ( 822 × 848 × 164 ) / 8

LCM(822,848,164) = 114317184 / 8

LCM(822,848,164) = 14289648


Lets's calculate GCF of 695,870,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14289648/1

Therefore the LCM of Fractions 822/695,848/870,164/714 is 14289648

Greatest Common Factor of 695,870,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,870,714 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 695,870,714 . The biggest common factor number is the GCF number.
So the greatest common factor 695,870,714 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 822/695, 848/870, 164/714

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 822/695, 848/870, 164/714?

Answer: LCM of Numerators as per given numbers 822/695, 848/870, 164/714 is

LCM of Numerators i.e. for 822,848,164 is 14289648

GCF of denominators i.e. for 695,870,714 is 1.

Thus, LCM of Fractions is 14289648.Finally, LCM of Fractions for 822/695, 848/870, 164/714 is 14289648.