Least Common Multiple of 374/30, 562/91, 880/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 374/30, 562/91, 880/925 quickly i.e. 4203760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/30, 562/91, 880/925 is 4203760.

LCM(374/30, 562/91, 880/925) = 4203760

LCM of 374/30, 562/91, 880/925

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 374/30,562/91,880/925

Given numbers are 374/30,562/91,880/925

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 374,562,880

Least Common Multiple of Numerators i.e. LCM of 374,562,880 is 4203760.

GCF of Denominators means GCF of 30,91,925 as per the given fractions.

GCF of 30,91,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,562,880

LCM of Fractions 374/30,562/91,880/925 is 4203760

2 374, 562, 880
11 187, 281, 440
17, 281, 40

∴ So the LCM of the given numbers is 2 x 11 x 17 x 281 x 40 = 4203760

Least Common Multiple of 374,562,880 with GCF Formula

Least Common Multiple of 374,562,880 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 374,562,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,562,880) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(374,562,880) x common factors =2 x 22 = 44

LCM(374,562,880) = ( 374 × 562 × 880 ) / 44

LCM(374,562,880) = 184965440 / 44

LCM(374,562,880) = 4203760


Lets's calculate GCF of 30,91,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4203760/1

Therefore the LCM of Fractions 374/30,562/91,880/925 is 4203760

Greatest Common Factor of 30,91,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,91,925 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 30,91,925 . The biggest common factor number is the GCF number.
So the greatest common factor 30,91,925 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 374/30, 562/91, 880/925

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 374/30, 562/91, 880/925?

Answer: LCM of Numerators as per given numbers 374/30, 562/91, 880/925 is

LCM of Numerators i.e. for 374,562,880 is 4203760

GCF of denominators i.e. for 30,91,925 is 1.

Thus, LCM of Fractions is 4203760.Finally, LCM of Fractions for 374/30, 562/91, 880/925 is 4203760.