Least Common Multiple of 6158/154, 8503/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6158/154, 8503/735 quickly i.e. 52361474/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6158/154, 8503/735 is 52361474/7.

LCM(6158/154, 8503/735) = 52361474/7

LCM of 6158/154, 8503/735

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 6158/154,8503/735

Given numbers are 6158/154,8503/735

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 6158,8503

Least Common Multiple of Numerators i.e. LCM of 6158,8503 is 52361474.

GCF of Denominators means GCF of 154,735 as per the given fractions.

GCF of 154,735 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6158,8503

LCM of Fractions 6158/154,8503/735 is 52361474/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 52361474

Least Common Multiple of 6158,8503 with GCF Formula

Least Common Multiple of 6158,8503 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 6158,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6158,8503) = 1

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

GCF(6158,8503) x common factors =1 x 1 = 1

LCM(6158,8503) = ( 6158 × 8503 ) / 1

LCM(6158,8503) = 52361474 / 1

LCM(6158,8503) = 52361474


Lets's calculate GCF of 154,735

7 154, 735
22, 105

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52361474/7

Therefore the LCM of Fractions 6158/154,8503/735 is 52361474/7

Greatest Common Factor of 154,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,735 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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 154,735 . The biggest common factor number is the GCF number.
So the greatest common factor 154,735 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6158/154, 8503/735

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 6158/154, 8503/735?

Answer: LCM of Numerators as per given numbers 6158/154, 8503/735 is

LCM of Numerators i.e. for 6158,8503 is 52361474

GCF of denominators i.e. for 154,735 is 7.

Thus, LCM of Fractions is 52361474/7.Finally, LCM of Fractions for 6158/154, 8503/735 is 52361474/7.