Least Common Multiple of 698/76, 550/3472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/76, 550/3472 quickly i.e. 191950/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/76, 550/3472 is 191950/4.

LCM(698/76, 550/3472) = 191950/4

LCM of 698/76, 550/3472

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 698/76,550/3472

Given numbers are 698/76,550/3472

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 698,550

Least Common Multiple of Numerators i.e. LCM of 698,550 is 191950.

GCF of Denominators means GCF of 76,3472 as per the given fractions.

GCF of 76,3472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,550

LCM of Fractions 698/76,550/3472 is 191950/4

2 698, 550
349, 275

∴ So the LCM of the given numbers is 2 x 349 x 275 = 191950

Least Common Multiple of 698,550 with GCF Formula

Least Common Multiple of 698,550 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 698,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,550) = 2

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

GCF(698,550) x common factors =2 x 1 = 2

LCM(698,550) = ( 698 × 550 ) / 2

LCM(698,550) = 383900 / 2

LCM(698,550) = 191950


Lets's calculate GCF of 76,3472

2 76, 3472
2 38, 1736
19, 868

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191950/4

Therefore the LCM of Fractions 698/76,550/3472 is 191950/4

Greatest Common Factor of 76,3472 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,3472 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors 76,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3472 is 4.


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 698/76, 550/3472

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 698/76, 550/3472?

Answer: LCM of Numerators as per given numbers 698/76, 550/3472 is

LCM of Numerators i.e. for 698,550 is 191950

GCF of denominators i.e. for 76,3472 is 4.

Thus, LCM of Fractions is 191950/4.Finally, LCM of Fractions for 698/76, 550/3472 is 191950/4.