Least Common Multiple of 822/148, 1244/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 822/148, 1244/158 quickly i.e. 255642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/148, 1244/158 is 255642.

LCM(822/148, 1244/158) = 255642

LCM of 822/148, 1244/158

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 822/148,1244/158

Given numbers are 822/148,1244/158

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 822,1244

Least Common Multiple of Numerators i.e. LCM of 822,1244 is 511284.

GCF of Denominators means GCF of 148,158 as per the given fractions.

GCF of 148,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,1244

LCM of Fractions 822/148,1244/158 is 255642

2 822, 1244
411, 622

∴ So the LCM of the given numbers is 2 x 411 x 622 = 511284

Least Common Multiple of 822,1244 with GCF Formula

Least Common Multiple of 822,1244 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 822,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,1244) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(822,1244) x common factors =2 x 1 = 2

LCM(822,1244) = ( 822 × 1244 ) / 2

LCM(822,1244) = 1022568 / 2

LCM(822,1244) = 511284


Lets's calculate GCF of 148,158

2 148, 158
74, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511284/2

Therefore the LCM of Fractions 822/148,1244/158 is 255642

Greatest Common Factor of 148,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,158 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 148,158 . The biggest common factor number is the GCF number.
So the greatest common factor 148,158 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 822/148, 1244/158

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 822/148, 1244/158?

Answer: LCM of Numerators as per given numbers 822/148, 1244/158 is

LCM of Numerators i.e. for 822,1244 is 511284

GCF of denominators i.e. for 148,158 is 2.

Thus, LCM of Fractions is 255642.Finally, LCM of Fractions for 822/148, 1244/158 is 255642.