Least Common Multiple of 34/40, 714/93, 925/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/40, 714/93, 925/198 quickly i.e. 660450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/40, 714/93, 925/198 is 660450.

LCM(34/40, 714/93, 925/198) = 660450

LCM of 34/40, 714/93, 925/198

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 34/40,714/93,925/198

Given numbers are 34/40,714/93,925/198

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 34,714,925

Least Common Multiple of Numerators i.e. LCM of 34,714,925 is 660450.

GCF of Denominators means GCF of 40,93,198 as per the given fractions.

GCF of 40,93,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,714,925

LCM of Fractions 34/40,714/93,925/198 is 660450

2 34, 714, 925
17 17, 357, 925
1, 21, 925

∴ So the LCM of the given numbers is 2 x 17 x 1 x 21 x 925 = 660450

Least Common Multiple of 34,714,925 with GCF Formula

Least Common Multiple of 34,714,925 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 34,714,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,714,925) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,714,925) x common factors =1 x 34 = 34

LCM(34,714,925) = ( 34 × 714 × 925 ) / 34

LCM(34,714,925) = 22455300 / 34

LCM(34,714,925) = 660450


Lets's calculate GCF of 40,93,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 660450/1

Therefore the LCM of Fractions 34/40,714/93,925/198 is 660450

Greatest Common Factor of 40,93,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,93,198 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 40,93,198 . The biggest common factor number is the GCF number.
So the greatest common factor 40,93,198 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/40, 714/93, 925/198

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 34/40, 714/93, 925/198?

Answer: LCM of Numerators as per given numbers 34/40, 714/93, 925/198 is

LCM of Numerators i.e. for 34,714,925 is 660450

GCF of denominators i.e. for 40,93,198 is 1.

Thus, LCM of Fractions is 660450.Finally, LCM of Fractions for 34/40, 714/93, 925/198 is 660450.