Least Common Multiple of 7016/214, 4988/6998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7016/214, 4988/6998 quickly i.e. 4374476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7016/214, 4988/6998 is 4374476.

LCM(7016/214, 4988/6998) = 4374476

LCM of 7016/214, 4988/6998

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 7016/214,4988/6998

Given numbers are 7016/214,4988/6998

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 7016,4988

Least Common Multiple of Numerators i.e. LCM of 7016,4988 is 8748952.

GCF of Denominators means GCF of 214,6998 as per the given fractions.

GCF of 214,6998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7016,4988

LCM of Fractions 7016/214,4988/6998 is 4374476

2 7016, 4988
2 3508, 2494
1754, 1247

∴ So the LCM of the given numbers is 2 x 2 x 1754 x 1247 = 8748952

Least Common Multiple of 7016,4988 with GCF Formula

Least Common Multiple of 7016,4988 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 7016,4988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7016,4988) = 4

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

GCF(7016,4988) x common factors =4 x 1 = 4

LCM(7016,4988) = ( 7016 × 4988 ) / 4

LCM(7016,4988) = 34995808 / 4

LCM(7016,4988) = 8748952


Lets's calculate GCF of 214,6998

2 214, 6998
107, 3499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8748952/2

Therefore the LCM of Fractions 7016/214,4988/6998 is 4374476

Greatest Common Factor of 214,6998 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,6998 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1,2,3499,6998

Greatest Common Factor

We found the factors 214,6998 . The biggest common factor number is the GCF number.
So the greatest common factor 214,6998 is 2.


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 7016/214, 4988/6998

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 7016/214, 4988/6998?

Answer: LCM of Numerators as per given numbers 7016/214, 4988/6998 is

LCM of Numerators i.e. for 7016,4988 is 8748952

GCF of denominators i.e. for 214,6998 is 2.

Thus, LCM of Fractions is 4374476.Finally, LCM of Fractions for 7016/214, 4988/6998 is 4374476.