Least Common Multiple of 35/176, 2251/7480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/176, 2251/7480 quickly i.e. 78785/88 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/176, 2251/7480 is 78785/88.

LCM(35/176, 2251/7480) = 78785/88

LCM of 35/176, 2251/7480

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 35/176,2251/7480

Given numbers are 35/176,2251/7480

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 35,2251

Least Common Multiple of Numerators i.e. LCM of 35,2251 is 78785.

GCF of Denominators means GCF of 176,7480 as per the given fractions.

GCF of 176,7480 is 88 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,2251

LCM of Fractions 35/176,2251/7480 is 78785/88

Given numbers has no common factors except 1. So, there LCM is their product i.e 78785

Least Common Multiple of 35,2251 with GCF Formula

Least Common Multiple of 35,2251 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 35,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,2251) = 1

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

GCF(35,2251) x common factors =1 x 1 = 1

LCM(35,2251) = ( 35 × 2251 ) / 1

LCM(35,2251) = 78785 / 1

LCM(35,2251) = 78785


Lets's calculate GCF of 176,7480

2 176, 7480
2 88, 3740
2 44, 1870
11 22, 935
2, 85

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78785/88

Therefore the LCM of Fractions 35/176,2251/7480 is 78785/88

Greatest Common Factor of 176,7480 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,7480 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Greatest Common Factor

We found the factors 176,7480 . The biggest common factor number is the GCF number.
So the greatest common factor 176,7480 is 88.


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 35/176, 2251/7480

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 35/176, 2251/7480?

Answer: LCM of Numerators as per given numbers 35/176, 2251/7480 is

LCM of Numerators i.e. for 35,2251 is 78785

GCF of denominators i.e. for 176,7480 is 88.

Thus, LCM of Fractions is 78785/88.Finally, LCM of Fractions for 35/176, 2251/7480 is 78785/88.