Least Common Multiple of 71/668, 98/528, 208/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/668, 98/528, 208/862 quickly i.e. 361816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/668, 98/528, 208/862 is 361816.

LCM(71/668, 98/528, 208/862) = 361816

LCM of 71/668, 98/528, 208/862

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 71/668,98/528,208/862

Given numbers are 71/668,98/528,208/862

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 71,98,208

Least Common Multiple of Numerators i.e. LCM of 71,98,208 is 723632.

GCF of Denominators means GCF of 668,528,862 as per the given fractions.

GCF of 668,528,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,98,208

LCM of Fractions 71/668,98/528,208/862 is 361816

2 71, 98, 208
71, 49, 104

∴ So the LCM of the given numbers is 2 x 71 x 49 x 104 = 723632

Least Common Multiple of 71,98,208 with GCF Formula

Least Common Multiple of 71,98,208 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 71,98,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,98,208) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,98,208) x common factors =1 x 2 = 2

LCM(71,98,208) = ( 71 × 98 × 208 ) / 2

LCM(71,98,208) = 1447264 / 2

LCM(71,98,208) = 723632


Lets's calculate GCF of 668,528,862

2 668, 528, 862
334, 264, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723632/2

Therefore the LCM of Fractions 71/668,98/528,208/862 is 361816

Greatest Common Factor of 668,528,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,528,862 By Matching Biggest Common Factor Method

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 668,528,862 . The biggest common factor number is the GCF number.
So the greatest common factor 668,528,862 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 71/668, 98/528, 208/862

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 71/668, 98/528, 208/862?

Answer: LCM of Numerators as per given numbers 71/668, 98/528, 208/862 is

LCM of Numerators i.e. for 71,98,208 is 723632

GCF of denominators i.e. for 668,528,862 is 2.

Thus, LCM of Fractions is 361816.Finally, LCM of Fractions for 71/668, 98/528, 208/862 is 361816.