Least Common Multiple of 7358/154, 8265/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7358/154, 8265/935 quickly i.e. 60813870/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7358/154, 8265/935 is 60813870/11.

LCM(7358/154, 8265/935) = 60813870/11

LCM of 7358/154, 8265/935

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 7358/154,8265/935

Given numbers are 7358/154,8265/935

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 7358,8265

Least Common Multiple of Numerators i.e. LCM of 7358,8265 is 60813870.

GCF of Denominators means GCF of 154,935 as per the given fractions.

GCF of 154,935 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7358,8265

LCM of Fractions 7358/154,8265/935 is 60813870/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 60813870

Least Common Multiple of 7358,8265 with GCF Formula

Least Common Multiple of 7358,8265 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 7358,8265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7358,8265) = 1

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

GCF(7358,8265) x common factors =1 x 1 = 1

LCM(7358,8265) = ( 7358 × 8265 ) / 1

LCM(7358,8265) = 60813870 / 1

LCM(7358,8265) = 60813870


Lets's calculate GCF of 154,935

11 154, 935
14, 85

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60813870/11

Therefore the LCM of Fractions 7358/154,8265/935 is 60813870/11

Greatest Common Factor of 154,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,935 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 154,935 . The biggest common factor number is the GCF number.
So the greatest common factor 154,935 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7358/154, 8265/935

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 7358/154, 8265/935?

Answer: LCM of Numerators as per given numbers 7358/154, 8265/935 is

LCM of Numerators i.e. for 7358,8265 is 60813870

GCF of denominators i.e. for 154,935 is 11.

Thus, LCM of Fractions is 60813870/11.Finally, LCM of Fractions for 7358/154, 8265/935 is 60813870/11.