Least Common Multiple of 84/212, 98/493, 988/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/212, 98/493, 988/157 quickly i.e. 145236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/212, 98/493, 988/157 is 145236.

LCM(84/212, 98/493, 988/157) = 145236

LCM of 84/212, 98/493, 988/157

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 84/212,98/493,988/157

Given numbers are 84/212,98/493,988/157

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 84,98,988

Least Common Multiple of Numerators i.e. LCM of 84,98,988 is 145236.

GCF of Denominators means GCF of 212,493,157 as per the given fractions.

GCF of 212,493,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,98,988

LCM of Fractions 84/212,98/493,988/157 is 145236

2 84, 98, 988
2 42, 49, 494
7 21, 49, 247
3, 7, 247

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 7 x 247 = 145236

Least Common Multiple of 84,98,988 with GCF Formula

Least Common Multiple of 84,98,988 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 84,98,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,98,988) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(84,98,988) x common factors =2 x 28 = 56

LCM(84,98,988) = ( 84 × 98 × 988 ) / 56

LCM(84,98,988) = 8133216 / 56

LCM(84,98,988) = 145236


Lets's calculate GCF of 212,493,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145236/1

Therefore the LCM of Fractions 84/212,98/493,988/157 is 145236

Greatest Common Factor of 212,493,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,493,157 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 212,493,157 . The biggest common factor number is the GCF number.
So the greatest common factor 212,493,157 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 84/212, 98/493, 988/157

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 84/212, 98/493, 988/157?

Answer: LCM of Numerators as per given numbers 84/212, 98/493, 988/157 is

LCM of Numerators i.e. for 84,98,988 is 145236

GCF of denominators i.e. for 212,493,157 is 1.

Thus, LCM of Fractions is 145236.Finally, LCM of Fractions for 84/212, 98/493, 988/157 is 145236.