Least Common Multiple of 556/153, 6058/7620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/153, 6058/7620 quickly i.e. 1684124/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/153, 6058/7620 is 1684124/3.

LCM(556/153, 6058/7620) = 1684124/3

LCM of 556/153, 6058/7620

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 556/153,6058/7620

Given numbers are 556/153,6058/7620

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 556,6058

Least Common Multiple of Numerators i.e. LCM of 556,6058 is 1684124.

GCF of Denominators means GCF of 153,7620 as per the given fractions.

GCF of 153,7620 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,6058

LCM of Fractions 556/153,6058/7620 is 1684124/3

2 556, 6058
278, 3029

∴ So the LCM of the given numbers is 2 x 278 x 3029 = 1684124

Least Common Multiple of 556,6058 with GCF Formula

Least Common Multiple of 556,6058 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 556,6058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,6058) = 2

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

GCF(556,6058) x common factors =2 x 1 = 2

LCM(556,6058) = ( 556 × 6058 ) / 2

LCM(556,6058) = 3368248 / 2

LCM(556,6058) = 1684124


Lets's calculate GCF of 153,7620

3 153, 7620
51, 2540

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1684124/3

Therefore the LCM of Fractions 556/153,6058/7620 is 1684124/3

Greatest Common Factor of 153,7620 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,7620 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 7620

List of positive integer factors of 7620 that divides 7620 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620

Greatest Common Factor

We found the factors 153,7620 . The biggest common factor number is the GCF number.
So the greatest common factor 153,7620 is 3.


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 556/153, 6058/7620

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 556/153, 6058/7620?

Answer: LCM of Numerators as per given numbers 556/153, 6058/7620 is

LCM of Numerators i.e. for 556,6058 is 1684124

GCF of denominators i.e. for 153,7620 is 3.

Thus, LCM of Fractions is 1684124/3.Finally, LCM of Fractions for 556/153, 6058/7620 is 1684124/3.