Least Common Multiple of 92/546, 51/629, 855/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/546, 51/629, 855/702 quickly i.e. 1337220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/546, 51/629, 855/702 is 1337220.

LCM(92/546, 51/629, 855/702) = 1337220

LCM of 92/546, 51/629, 855/702

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 92/546,51/629,855/702

Given numbers are 92/546,51/629,855/702

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 92,51,855

Least Common Multiple of Numerators i.e. LCM of 92,51,855 is 1337220.

GCF of Denominators means GCF of 546,629,702 as per the given fractions.

GCF of 546,629,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,51,855

LCM of Fractions 92/546,51/629,855/702 is 1337220

3 92, 51, 855
92, 17, 285

∴ So the LCM of the given numbers is 3 x 92 x 17 x 285 = 1337220

Least Common Multiple of 92,51,855 with GCF Formula

Least Common Multiple of 92,51,855 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 92,51,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,51,855) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(92,51,855) x common factors =1 x 3 = 3

LCM(92,51,855) = ( 92 × 51 × 855 ) / 3

LCM(92,51,855) = 4011660 / 3

LCM(92,51,855) = 1337220


Lets's calculate GCF of 546,629,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1337220/1

Therefore the LCM of Fractions 92/546,51/629,855/702 is 1337220

Greatest Common Factor of 546,629,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,629,702 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 546,629,702 . The biggest common factor number is the GCF number.
So the greatest common factor 546,629,702 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 92/546, 51/629, 855/702

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 92/546, 51/629, 855/702?

Answer: LCM of Numerators as per given numbers 92/546, 51/629, 855/702 is

LCM of Numerators i.e. for 92,51,855 is 1337220

GCF of denominators i.e. for 546,629,702 is 1.

Thus, LCM of Fractions is 1337220.Finally, LCM of Fractions for 92/546, 51/629, 855/702 is 1337220.