Least Common Multiple of 45/121, 358/164, 762/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/121, 358/164, 762/435 quickly i.e. 2045970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/121, 358/164, 762/435 is 2045970.

LCM(45/121, 358/164, 762/435) = 2045970

LCM of 45/121, 358/164, 762/435

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 45/121,358/164,762/435

Given numbers are 45/121,358/164,762/435

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 45,358,762

Least Common Multiple of Numerators i.e. LCM of 45,358,762 is 2045970.

GCF of Denominators means GCF of 121,164,435 as per the given fractions.

GCF of 121,164,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,358,762

LCM of Fractions 45/121,358/164,762/435 is 2045970

2 45, 358, 762
3 45, 179, 381
15, 179, 127

∴ So the LCM of the given numbers is 2 x 3 x 15 x 179 x 127 = 2045970

Least Common Multiple of 45,358,762 with GCF Formula

Least Common Multiple of 45,358,762 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 45,358,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,358,762) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(45,358,762) x common factors =1 x 6 = 6

LCM(45,358,762) = ( 45 × 358 × 762 ) / 6

LCM(45,358,762) = 12275820 / 6

LCM(45,358,762) = 2045970


Lets's calculate GCF of 121,164,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2045970/1

Therefore the LCM of Fractions 45/121,358/164,762/435 is 2045970

Greatest Common Factor of 121,164,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,164,435 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 121,164,435 . The biggest common factor number is the GCF number.
So the greatest common factor 121,164,435 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/121, 358/164, 762/435

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 45/121, 358/164, 762/435?

Answer: LCM of Numerators as per given numbers 45/121, 358/164, 762/435 is

LCM of Numerators i.e. for 45,358,762 is 2045970

GCF of denominators i.e. for 121,164,435 is 1.

Thus, LCM of Fractions is 2045970.Finally, LCM of Fractions for 45/121, 358/164, 762/435 is 2045970.