Least Common Multiple of 374/97, 430/56, 275/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/97, 430/56, 275/936 quickly i.e. 402050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/97, 430/56, 275/936 is 402050.

LCM(374/97, 430/56, 275/936) = 402050

LCM of 374/97, 430/56, 275/936

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 374/97,430/56,275/936

Given numbers are 374/97,430/56,275/936

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 374,430,275

Least Common Multiple of Numerators i.e. LCM of 374,430,275 is 402050.

GCF of Denominators means GCF of 97,56,936 as per the given fractions.

GCF of 97,56,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,430,275

LCM of Fractions 374/97,430/56,275/936 is 402050

2 374, 430, 275
5 187, 215, 275
11 187, 43, 55
17, 43, 5

∴ So the LCM of the given numbers is 2 x 5 x 11 x 17 x 43 x 5 = 402050

Least Common Multiple of 374,430,275 with GCF Formula

Least Common Multiple of 374,430,275 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 374,430,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,430,275) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(374,430,275) x common factors =1 x 110 = 110

LCM(374,430,275) = ( 374 × 430 × 275 ) / 110

LCM(374,430,275) = 44225500 / 110

LCM(374,430,275) = 402050


Lets's calculate GCF of 97,56,936

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402050/1

Therefore the LCM of Fractions 374/97,430/56,275/936 is 402050

Greatest Common Factor of 97,56,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,56,936 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 97,56,936 . The biggest common factor number is the GCF number.
So the greatest common factor 97,56,936 is 1.


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 374/97, 430/56, 275/936

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 374/97, 430/56, 275/936?

Answer: LCM of Numerators as per given numbers 374/97, 430/56, 275/936 is

LCM of Numerators i.e. for 374,430,275 is 402050

GCF of denominators i.e. for 97,56,936 is 1.

Thus, LCM of Fractions is 402050.Finally, LCM of Fractions for 374/97, 430/56, 275/936 is 402050.