Least Common Multiple of 49/802, 91/964, 358/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/802, 91/964, 358/927 quickly i.e. 228046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/802, 91/964, 358/927 is 228046.

LCM(49/802, 91/964, 358/927) = 228046

LCM of 49/802, 91/964, 358/927

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 49/802,91/964,358/927

Given numbers are 49/802,91/964,358/927

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 49,91,358

Least Common Multiple of Numerators i.e. LCM of 49,91,358 is 228046.

GCF of Denominators means GCF of 802,964,927 as per the given fractions.

GCF of 802,964,927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,91,358

LCM of Fractions 49/802,91/964,358/927 is 228046

7 49, 91, 358
7, 13, 358

∴ So the LCM of the given numbers is 7 x 7 x 13 x 358 = 228046

Least Common Multiple of 49,91,358 with GCF Formula

Least Common Multiple of 49,91,358 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 49,91,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,91,358) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,91,358) x common factors =1 x 7 = 7

LCM(49,91,358) = ( 49 × 91 × 358 ) / 7

LCM(49,91,358) = 1596322 / 7

LCM(49,91,358) = 228046


Lets's calculate GCF of 802,964,927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228046/1

Therefore the LCM of Fractions 49/802,91/964,358/927 is 228046

Greatest Common Factor of 802,964,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,964,927 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 802,964,927 . The biggest common factor number is the GCF number.
So the greatest common factor 802,964,927 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/802, 91/964, 358/927

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 49/802, 91/964, 358/927?

Answer: LCM of Numerators as per given numbers 49/802, 91/964, 358/927 is

LCM of Numerators i.e. for 49,91,358 is 228046

GCF of denominators i.e. for 802,964,927 is 1.

Thus, LCM of Fractions is 228046.Finally, LCM of Fractions for 49/802, 91/964, 358/927 is 228046.