Least Common Multiple of 60/554, 7650/1698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/554, 7650/1698 quickly i.e. 7650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/554, 7650/1698 is 7650.

LCM(60/554, 7650/1698) = 7650

LCM of 60/554, 7650/1698

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 60/554,7650/1698

Given numbers are 60/554,7650/1698

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 60,7650

Least Common Multiple of Numerators i.e. LCM of 60,7650 is 15300.

GCF of Denominators means GCF of 554,1698 as per the given fractions.

GCF of 554,1698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,7650

LCM of Fractions 60/554,7650/1698 is 7650

2 60, 7650
3 30, 3825
5 10, 1275
2, 255

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 255 = 15300

Least Common Multiple of 60,7650 with GCF Formula

Least Common Multiple of 60,7650 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 60,7650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7650) = 30

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

GCF(60,7650) x common factors =30 x 1 = 30

LCM(60,7650) = ( 60 × 7650 ) / 30

LCM(60,7650) = 459000 / 30

LCM(60,7650) = 15300


Lets's calculate GCF of 554,1698

2 554, 1698
277, 849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15300/2

Therefore the LCM of Fractions 60/554,7650/1698 is 7650

Greatest Common Factor of 554,1698 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,1698 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 1698

List of positive integer factors of 1698 that divides 1698 without a remainder.

1,2,3,6,283,566,849,1698

Greatest Common Factor

We found the factors 554,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 554,1698 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 60/554, 7650/1698

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 60/554, 7650/1698?

Answer: LCM of Numerators as per given numbers 60/554, 7650/1698 is

LCM of Numerators i.e. for 60,7650 is 15300

GCF of denominators i.e. for 554,1698 is 2.

Thus, LCM of Fractions is 7650.Finally, LCM of Fractions for 60/554, 7650/1698 is 7650.