Least Common Multiple of 822/98, 207/42, 196/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/98, 207/42, 196/910 quickly i.e. 397026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/98, 207/42, 196/910 is 397026.

LCM(822/98, 207/42, 196/910) = 397026

LCM of 822/98, 207/42, 196/910

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 822/98,207/42,196/910

Given numbers are 822/98,207/42,196/910

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 822,207,196

Least Common Multiple of Numerators i.e. LCM of 822,207,196 is 5558364.

GCF of Denominators means GCF of 98,42,910 as per the given fractions.

GCF of 98,42,910 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,207,196

LCM of Fractions 822/98,207/42,196/910 is 397026

2 822, 207, 196
3 411, 207, 98
137, 69, 98

∴ So the LCM of the given numbers is 2 x 3 x 137 x 69 x 98 = 5558364

Least Common Multiple of 822,207,196 with GCF Formula

Least Common Multiple of 822,207,196 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 822,207,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,207,196) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(822,207,196) x common factors =1 x 6 = 6

LCM(822,207,196) = ( 822 × 207 × 196 ) / 6

LCM(822,207,196) = 33350184 / 6

LCM(822,207,196) = 5558364


Lets's calculate GCF of 98,42,910

2 98, 42, 910
7 49, 21, 455
7, 3, 65

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5558364/14

Therefore the LCM of Fractions 822/98,207/42,196/910 is 397026

Greatest Common Factor of 98,42,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,42,910 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 98,42,910 . The biggest common factor number is the GCF number.
So the greatest common factor 98,42,910 is 14.


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 822/98, 207/42, 196/910

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 822/98, 207/42, 196/910?

Answer: LCM of Numerators as per given numbers 822/98, 207/42, 196/910 is

LCM of Numerators i.e. for 822,207,196 is 5558364

GCF of denominators i.e. for 98,42,910 is 14.

Thus, LCM of Fractions is 397026.Finally, LCM of Fractions for 822/98, 207/42, 196/910 is 397026.