Least Common Multiple of 175/48, 364/7612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/48, 364/7612 quickly i.e. 2275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/48, 364/7612 is 2275.

LCM(175/48, 364/7612) = 2275

LCM of 175/48, 364/7612

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 175/48,364/7612

Given numbers are 175/48,364/7612

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 175,364

Least Common Multiple of Numerators i.e. LCM of 175,364 is 9100.

GCF of Denominators means GCF of 48,7612 as per the given fractions.

GCF of 48,7612 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,364

LCM of Fractions 175/48,364/7612 is 2275

7 175, 364
25, 52

∴ So the LCM of the given numbers is 7 x 25 x 52 = 9100

Least Common Multiple of 175,364 with GCF Formula

Least Common Multiple of 175,364 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 175,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,364) = 7

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

GCF(175,364) x common factors =7 x 1 = 7

LCM(175,364) = ( 175 × 364 ) / 7

LCM(175,364) = 63700 / 7

LCM(175,364) = 9100


Lets's calculate GCF of 48,7612

2 48, 7612
2 24, 3806
12, 1903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9100/4

Therefore the LCM of Fractions 175/48,364/7612 is 2275

Greatest Common Factor of 48,7612 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7612 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

Greatest Common Factor

We found the factors 48,7612 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7612 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 175/48, 364/7612

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 175/48, 364/7612?

Answer: LCM of Numerators as per given numbers 175/48, 364/7612 is

LCM of Numerators i.e. for 175,364 is 9100

GCF of denominators i.e. for 48,7612 is 4.

Thus, LCM of Fractions is 2275.Finally, LCM of Fractions for 175/48, 364/7612 is 2275.