Least Common Multiple of 55/92, 62/364, 253/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/92, 62/364, 253/451 quickly i.e. 78430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/92, 62/364, 253/451 is 78430.

LCM(55/92, 62/364, 253/451) = 78430

LCM of 55/92, 62/364, 253/451

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 55/92,62/364,253/451

Given numbers are 55/92,62/364,253/451

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 55,62,253

Least Common Multiple of Numerators i.e. LCM of 55,62,253 is 78430.

GCF of Denominators means GCF of 92,364,451 as per the given fractions.

GCF of 92,364,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,62,253

LCM of Fractions 55/92,62/364,253/451 is 78430

11 55, 62, 253
5, 62, 23

∴ So the LCM of the given numbers is 11 x 5 x 62 x 23 = 78430

Least Common Multiple of 55,62,253 with GCF Formula

Least Common Multiple of 55,62,253 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 55,62,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,62,253) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,62,253) x common factors =1 x 11 = 11

LCM(55,62,253) = ( 55 × 62 × 253 ) / 11

LCM(55,62,253) = 862730 / 11

LCM(55,62,253) = 78430


Lets's calculate GCF of 92,364,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78430/1

Therefore the LCM of Fractions 55/92,62/364,253/451 is 78430

Greatest Common Factor of 92,364,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,364,451 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 92,364,451 . The biggest common factor number is the GCF number.
So the greatest common factor 92,364,451 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/92, 62/364, 253/451

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 55/92, 62/364, 253/451?

Answer: LCM of Numerators as per given numbers 55/92, 62/364, 253/451 is

LCM of Numerators i.e. for 55,62,253 is 78430

GCF of denominators i.e. for 92,364,451 is 1.

Thus, LCM of Fractions is 78430.Finally, LCM of Fractions for 55/92, 62/364, 253/451 is 78430.